Alhoons, or illithiliches as they are sometimes known, still seek out brains, even though they no longer need them for sustenance.
An alhoon conforms to all the normal rules for adding the lich template to a humanoid, except as noted below.
Size and Type: The creature’s type changes to undead (augmented aberration). Do not recalculate base attack bonus, saves, or skill points. Size is unchanged.
Armor Class: An alhoon’s natural armor bonus improves from +3 to +5.
Source: Lords of Madness, page 157.