account has 16 distinct synonyms spread across 11 of its 14 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. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
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.
a record or narrative description of past events
“a history of France”
a short account of the news
“the report of his speech”
a formal contractual relationship established to provide for regular banking or brokerage or business services
“he asked to see the executive who handled his account”
a statement that makes something comprehensible by describing the relevant structure or operation or circumstances etc.
“the explanation was very simple”
importance or value
“a person of considerable account”
a statement of recent transactions and the resulting balance
“they send me an accounting every month”
the act of informing by verbal report
“he heard reports that they were causing trouble”
an itemized statement of money owed for goods shipped or services rendered
“he paid his bill and left”
the quality of taking advantage
“she turned her writing skills to good account”
be the sole or primary factor in the existence, acquisition, supply, or disposal of something
“Passing grades account for half of the grades given in this exam”
furnish a justifying analysis or explanation
“I can't account for the missing money”
Synonyms, antonyms and the broader and narrower relations for account come from Princeton University’s WordNet. Full sources and licences.