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Synonyms for Umpteen (same or very similar meaning)

WordNet sense 1 (innumerable but many):
umteen

WordNet sense 2 (a quantifier that can be used with count nouns and is often preceded by `as' or `too' or `so' or `that'; amounting to a large but indefinite number):
many


From the ODE community, based on WordNetadd/edit