There are 9 total movies in The Conjuring Universe franchise, which includes the main Conjuring series, Annabelle movies, The Nun movies, and The Curse of La Llorona. So, if you are referring to the number of Conjuring films, the answer is 9.
If you meant "conjurings" in a different context, such as types of magical conjurings, they are categorized in various ways, for example in a fictional magic system with categories like Animurgy (conjuring beasts), Demonurgy, Necromurgy, and others. However, no single total number is definitively given for "conjurings" as types or spells.
Please specify if you meant the number of "The Conjuring" movies or types of conjurings in a magical or entertainment context.