cerebral vs intellectual

cerebral is not a noun while intellectual is a noun.

Word	Noun	Adjective	Verb	Adverb
cerebral	No	Yes	No	No
intellectual	Yes	Yes	No	No

As adjectives, cerebral and intellectual are synonyms defined as:

cerebral and intellectual: involving intelligence rather than emotions or instinct

cerebral (noun)	intellectual (noun)
	a person who uses the mind creatively

cerebral (adjective)	intellectual (adjective)
involving intelligence rather than emotions or instinct	appealing to or using the intellect
of or relating to the cerebrum or brain	involving intelligence rather than emotions or instinct
	of or associated with or requiring the use of the mind