Synonyms for Insensible (same or very similar meaning)
WordNet sense 1 (unaware of or indifferent to):
unaffected
WordNet sense 2 (deficient in human sensibility; not mentally or morally sensitive):
insensitive
WordNet sense 3 (lacking sensation):
benumbed, numb
WordNet sense 4 (barely able to be perceived):
indiscernible, undetectable
WordNet sense 5 (impossible or difficult to perceive by the mind or senses):
imperceptible, unperceivable
WordNet sense 6 (unresponsive to stimulation):
senseless
WordNet sense 7 (not conscious; lacking awareness and the capacity for sensory perception as if asleep or dead):
unconscious
From the ODE community, based on WordNet
add/edit