444672989460768 has 48 divisors (see below), whose sum is σ = 1167267818435040. Its totient is φ = 148224174759936.

The previous prime is 444672989460727. The next prime is 444672989460797. The reversal of 444672989460768 is 867064989276444.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×444672989460768² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124006368 + ... + 127541856.

It is an arithmetic number, because the mean of its divisors is an integer number (24318079550730).

Almost surely, 2^{444672989460768} is an apocalyptic number.

444672989460768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444672989460768 is an abundant number, since it is smaller than the sum of its proper divisors (722594828974272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444672989460768 is a wasteful number, since it uses less digits than its factorization.

444672989460768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845649 (or 4845641 counting only the distinct ones).

The product of its (nonzero) digits is 28092137472, while the sum is 84.

The spelling of 444672989460768 in words is "four hundred forty-four trillion, six hundred seventy-two billion, nine hundred eighty-nine million, four hundred sixty thousand, seven hundred sixty-eight".