Is there a single word to mean the following:
'having more than one meanings'
The semantic phenomenon of words with multiple meanings is polysemy.
Thoughtco defines polysemy as follows:
Polysemy is the association of one word with two or more distinct meanings, and a polyseme is a word or phrase with multiple meanings. The word "polysemy" comes from the Greek for "many signs." The adjective forms of the word include polysemous or polysemic.
and states that "According to some estimates, more than 40% of English words have more than one meaning."
The word form in the paragraph above is a polyseme with more than 24 senses in my Collins dictionary.
Reference: Polysemy - https://www.thoughtco.com/polysemy-words-and-meanings-1691642