What does Cōnfūcius mean in Latin?

Cōnfūcius, a proper noun, means “Confucius”.

What is the genitive of Cōnfūcius?

The genitive singular is Cōnfūciī. Cōnfūcius is masculine, second declension.

In classical Latin, [kõːˈfuː.ki.ʊs]; in ecclesiastical (church) Latin, [koɱˈfuː.t͡ʃi.us].

proper noun · masculinesecond declension

Cōnfūcius m sg (genitive Cōnfūciī or Cōnfūcī)

Classical[kõːˈfuː.ki.ʊs]Ecclesiastical[koɱˈfuː.t͡ʃi.us]

Confucius
CUM FU CU, ſive Confucius quem Sinenſes uti Principem Philoſophiæ ſuæ ſequuntur, […]1687, Philippe Couplet, Confucius, Sinarum Philosophus:
CONFUTIUS, dictus Socrates Sinenſis, tum quia huic σύγχρονος, tum quia morum imprimis Doctrinam excoluit.1698, Johann Jacob Hofmann, Lexicon Universale:

declension
form	singular	plural
nominative	Cōnfūcius	—
genitive	Cōnfūciī Cōnfūcī, Cōnfūtī, Cōnfūtiī	—
dative	Cōnfūciō Cōnfūtiō	—
accusative	Cōnfūcium Cōnfūtium	—
ablative	Cōnfūciō Cōnfūtiō	—
vocative	Cōnfūcī Cōnfūtī	—

From Mandarin 孔夫子 (Kǒng Fūzǐ, honorific title, literally “Master Kong”) + Latin -ius.

Descendants