Is it possible to deduce a non-type template parameter from a template function parameter?

Consider this simple template:

template <int N> constexpr int factorial()
{
        return N * factorial<N - 1>();
}

template <> constexpr int factorial<0>()
{
        return 1;
}

template <> constexpr int factorial<1>()
{
        return 1;
}

I would like to be able to change factorial so that I can alternatively call it like this:

factorial(5);

and let the compiler figure out the value of N at compile time. Is this possible? Maybe with some fancy C++11 addition?