444546505645444 has 48 divisors (see below), whose sum is σ = 825356457878400. Its totient is φ = 208782392265216.

The previous prime is 444546505645397. The next prime is 444546505645453.

444546505645444 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742898187 + ... + 1743153229.

It is an arithmetic number, because the mean of its divisors is an integer number (17194926205800).

Almost surely, 2^{444546505645444} is an apocalyptic number.

It is an amenable number.

444546505645444 is a deficient number, since it is larger than the sum of its proper divisors (380809952232956).

444546505645444 is a wasteful number, since it uses less digits than its factorization.

444546505645444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305932 (or 305930 counting only the distinct ones).

The product of its (nonzero) digits is 1474560000, while the sum is 64.

The spelling of 444546505645444 in words is "four hundred forty-four trillion, five hundred forty-six billion, five hundred five million, six hundred forty-five thousand, four hundred forty-four".