Conversation so far:
What was Pinhead's, from the Hellraiser series, weaknesses?
When Pinhead remembers his human past in Hellbound: Hellraiser II, it results in what screenwriter Peter Atkins described as him being spiritually weakened and subsequently killed by the Chanard Cenobite.
Are there any other interesting aspects about Hellraiser's Pinhead's Powers, weaknesses and limitations besides Pinhead's weaknesses?
In order to act in the physical world, Pinhead needs to have been purposely summoned through the Lament Configuration
What were Pinhead's, from the Hellraiser series, limitations?
In Hellbound: Hellraiser II, Pinhead stops Cenobites from torturing an emotionally traumatised girl manipulated into opening the Configuration, remarking ...it is not hands that call us, it is desire.“

Question: What kind of powers did Pinhead have?
Self-contained rewrite: What kind of powers did Pinhead, from the Hellraiser series, have?