in ‧ sa ‧ tia ‧ ble /ɪnˈseɪʃəb ə l/ BrE AmE adjective
[ Date: 1400-1500 ; Language: Old French ; Origin: Latin insatiabilis , from satiare 'to satisfy' ]
always wanting more and more of something
insatiable appetite/desire/demand etc (for something)
his insatiable appetite for power
our insatiable thirst for knowledge
—insatiably adverb