444153652164 has 36 divisors (see below), whose sum is σ = 1143905165676. Its totient is φ = 145257797568.

The previous prime is 444153652147. The next prime is 444153652181. The reversal of 444153652164 is 461256351444.

444153652164 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 536 + 52 + 1 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (444153652147) and next prime (444153652181).

It can be written as a sum of positive squares in 2 ways, for example, as 397898547264 + 46255104900 = 630792^2 + 215070^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116390559 + ... + 116394374.

It is an arithmetic number, because the mean of its divisors is an integer number (31775143491).

Almost surely, 2^444153652164 is an apocalyptic number.

It is an amenable number.

444153652164 is an abundant number, since it is smaller than the sum of its proper divisors (699751513512).

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

444153652164 is a wasteful number, since it uses less digits than its factorization.

444153652164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232784996 (or 232784991 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 444153652164 in words is "four hundred forty-four billion, one hundred fifty-three million, six hundred fifty-two thousand, one hundred sixty-four".