We currently do not have a feature that prevents Public CVs from being searchable on other search engines.
CVs set to Public are visible to anyone, however, your phone number and email address are provided only to employers to whom you apply. Your street address and postcode are visible only to you.
Private CVs are not visible (and employers cannot find you). When you set your CV to Private, it does not appear in search results, but you will still be able to use your Indeed CV to apply for jobs with the Apply Now button.
If you would like to change the visibility of your CV, log into your account here and select the Private or Public option (top right, below View CV).