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No literary or mythology names would be put in actual use, neither a real person nor a fictional character. In Chinese names, if you find any namesake for your name, it would be like a ban. So many parents would type their drafted name on Google and see is there any results that is about famous people. If yes, discard/change the name. If there is only records (eg: awards he/she got in elementary school) which is obviously a normal people, then you may use it.

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Using your example Caishen, it is in fact consisted of two words in Chinese, Cai, which means wealth, and Shen, which means God. It sounds more like a title than a name to me, and it would be extremely strange to call a person "god". However, Cai was a popular word for names (it would be better to describe in this way) when it comes to older people (in Hong Kong) since people are a lot richer from 70s and hoping for wealth in children's names look old-fashioned and uncultured.

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Off-topic: Athena was a popular name in Hong Kong in late 2000s, but it was seen more like a hippie name and "would be unacceptable for locals" because of the same reason Caishen is inappropriate.