444005616355164 has 36 divisors (see below), whose sum is σ = 1122466688910840. Its totient is φ = 147986158885920.

The previous prime is 444005616355139. The next prime is 444005616355181. The reversal of 444005616355164 is 461553616500444.

444005616355164 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 0 + 5 + 61 + 63 + 5 + 516 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 444005616355164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654374227 + ... + 655052394.

Almost surely, 2^{444005616355164} is an apocalyptic number.

It is an amenable number.

444005616355164 is an abundant number, since it is smaller than the sum of its proper divisors (678461072555676).

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

444005616355164 is a wasteful number, since it uses less digits than its factorization.

444005616355164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309436050 (or 1309436045 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 444005616355164 in words is "four hundred forty-four trillion, five billion, six hundred sixteen million, three hundred fifty-five thousand, one hundred sixty-four".