Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
homogeneousness is a noun meaning "the quality of being similar or comparable in kind or nature". It carries one recorded sense.
the quality of being similar or comparable in kind or nature
“there is a remarkable homogeneity between the two companies”
Forms marked · are formed by the regular rule rather than recorded in the source data. English keeps a few hundred irregulars and the rest follow the pattern, so the rule is right far more often than not — but it is a rule, and the mark says so.
Definitions, synonyms and semantic relations for homogeneousness come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.