Can a small business file with just an EIN and not a social security number

How are planning to fie your small business, as a Schedule C, as a partnership, or as a Subchapter S?

Both the partnership and the SubS require the EIN - the Schedule C can use either an EIN or your SS number.

Because Schedule C is part of an individual tax return, the Schedule C will still show the individual's SSN even if it also shows the company's EIN.