constant has 11 distinct synonyms spread across 3 of its 5 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is inconstant.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
steadfast in purpose or devotion or affection
“a man constant in adherence to his ideals”
uninterrupted in time and indefinitely long continuing
“the ceaseless thunder of surf”
a quantity that does not vary
a number representing a quantity assumed to have a fixed value in a specified mathematical context
“the velocity of light is a constant”
Synonyms, antonyms and the broader and narrower relations for constant come from Princeton University’s WordNet. Full sources and licences.