444646444646444 has 48 divisors (see below), whose sum is σ = 836522394086400. Its totient is φ = 206138343350016.

The previous prime is 444646444646429. The next prime is 444646444646513.

It is a happy number.

444646444646444 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336941897 + ... + 338258975.

It is an arithmetic number, because the mean of its divisors is an integer number (17427549876800).

Almost surely, 2^{444646444646444} is an apocalyptic number.

It is an amenable number.

444646444646444 is a deficient number, since it is larger than the sum of its proper divisors (391875949439956).

444646444646444 is a wasteful number, since it uses less digits than its factorization.

444646444646444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411662 (or 1411660 counting only the distinct ones).

The product of its digits is 5435817984, while the sum is 68.

The spelling of 444646444646444 in words is "four hundred forty-four trillion, six hundred forty-six billion, four hundred forty-four million, six hundred forty-six thousand, four hundred forty-four".