Anaphia
Anaphia, also known as tactile anesthesia, is a medical symptom in which there is a total or partial absence of the sense of touch. Anaphia is a common symptom of spinal cord injury and neuropathy. See also 
 Dysesthesia
 Hyperesthesia
 Hypoesthesia

References 

Symptoms and signs of mental disorders
Symptoms and signs: Nervous and musculoskeletal systems
Neurological disorders
Anesthesia