I manged to get an Arcana check of
+66 without the use of any consumable items. This gives you the best result for the Sage of Ages 'Trick of Knowledge' without costing you each encounter.

The result is below:
====== Created Using Wizards of the Coast D&D Character Builder ======
Erishti, level 30
Shardmind, Wizard (Witch), Academy Master, Sage of Ages
Moon Coven Option: Full Moon Coven
Shardmind Option: Perception Bonus
Ikemmu (Ikemmu Benefit)
Theme: Wizard's Apprentice
FINAL ABILITY SCORES
STR 10, CON 12, DEX 12, INT 28, WIS 24, CHA 13
STARTING ABILITY SCORES
STR 8, CON 10, DEX 10, INT 18, WIS 14, CHA 11
AC: 43 Fort: 39 Ref: 40 Will: 47
HP: 138 Surges: 7 Surge Value: 34
TRAINED SKILLS
Arcana +66, Heal +30, History +43, Nature +34, Religion +41
UNTRAINED SKILLS
Acrobatics +17, Athletics +15, Bluff +16, Diplomacy +18, Dungeoneering +30, Endurance +18, Insight +22, Intimidate +16, Perception +24, Stealth +16, Streetwise +16, Thievery +16
POWERS
Basic Attack: Melee Basic Attack
Basic Attack: Ranged Basic Attack
Wizard's Apprentice Attack: Color Orb
Shardmind Racial Power: Shard Swarm
Wizard Utility: Augury
Wizard Utility: Light
Wizard Utility: Chameleon's Mask
Wizard Utility: Ghost Sound
Wizard Attack 1: Magic Missile
Wizard Attack 1: Phantasmal Assault
Wizard Attack 1: Wizard's Fury
Arcana Utility 2: Arcane Mutterings
Wizard Utility 6: Dimension Door
Wizard Utility 10: Blur
Academy Master Attack 11: Learned Boost
Academy Master Utility 12: Refined Recall
Wizard Attack 13: Arcane Arrows
Wizard Utility 16: Displacement
Wizard Attack 19: Oppressive Force
Academy Master Attack 20: Master's Surge
Wizard Utility 22: Mordenkainen's Mansion
Wizard Attack 23: Arcane Volley
Wizard Attack 25: Finger of Death
Sage of Ages Utility 26: Trick of Knowledge
Wizard Attack 27: Forcecage
FEATS
Arcane Familiar
Level 1: Skill Focus (Arcana)
Level 2: Orb Expertise
Level 4: Unarmored Agility
Level 6: Implement Focus (Orb)
Level 8: Disciple of Lore
Level 10: Superior Implement Training (Petrified orb)
Level 11: Frozen Soul
Level 12: Inescapable Force
Level 14: Guarded Mind
Level 16: Shard Construct
Level 18: Great Fortitude
Level 20: Alert Familiar
Level 21: Arcane Prodigy
Level 22: Sorcerous Vision
Level 24: White Lotus Defense
Level 26: Telepathic Sustenance
Level 28: White Lotus Riposte
Level 30: Ritual Caster
ITEMS
Petrified orb of Nimble Thoughts +6 x1
Runic Dragoncloth Armor +6 x1
Ioun's Flame x1
Zehir's Gloves x1
Avandra's Ring x1
Bane's Collar x1
Vecna's Puzzle Box
Moran's Eye x1
Bracers of the Perfect Shot (epic tier) x1
Belt of Vim (epic tier) x1
Acrobat Boots x1
====== End ======
Arcana Bonus:
15 (Half Level) +
5 (Trained) +
9 (Int Modifier) +
2 (Race) +
2 (Familiar) +
3 (Character Theme - Wizard's Apprentice Lvl 10) +
2 (Background - Ikemmu [Geography]) +
2 (Paragon Path - Academy Master - Arcane Underpinning) +
6 (Epic Destiny - sage of Ages - Paragon of Learning) +
3 (Feat Bonus - Skill Focus [Arcana]) +
1 (Untyped Bonus - Disciple of Lore Feat) +
6 (Item Bonus - Runic Armour +6) +
5 (Untyped Bonus - Moran's Eye) +
5 (Untyped Bonus - Relics of Creation Set Bonus [5 items - Ioun's Flame, Zehir's Gloves, Avandra's Ring, Bane's Collar & Vecna's Puzzle Box])