A sole proprietorship can be named with the word "enterprise" in it.
According to the regulations on enterprise name registration and management, the components of an enterprise name include administrative division, trade size, industry characteristics, and organizational form. The name of a sole proprietorship must comply with the name registration management regulations and be consistent with its form of responsibility and the business it engages in. The words "limited", "limited liability" or "company" may not be used in the name of a sole proprietorship, but there is no provision that the word "enterprise" cannot be used in the name of a sole proprietorship.
Therefore, a sole proprietorship can use the word "enterprise" when naming it, but it needs to comply with relevant regulations to ensure that the name complies with the regulations and is consistent with its business operations.