How unlucky would you have to be to have no ears, mouth, nose, hands and eyes?
If you count hands as the sensation of touch, then you'd just be plain screwed. You couldn't tell if you were burnt, or even if you were having a heart attack. I understand that there may be a condition of not being able to feel anything, and the afflicted would probably be under constant supervision. Though, that paired with being mute, deaf, blind and not have olfactory sensory, you probably wouldn't survive.