The genie's odd or even number (8)
I believe the answer is:
eighteen
'even number' is the definition.
'eighteen' can be an answer for 'number' (I've seen this before). I am unsure of the 'even' bit.
'the genie's odd' is the wordplay.
'odd' indicates anagramming the letters.
'the'+'genie'='thegenie'
'thegenie' anagrammed gives 'EIGHTEEN'.
'or' acts as a link.
Can you help me to learn more?
(Other definitions for eighteen that I've seen before include "11/2 dozen" , "when boy becomes man?" , "Golf-holes in a round" , "The genie in this number" , "Treble six" .)