201577956116472 has 128 divisors (see below), whose sum is σ = 607412520993600. Its totient is φ = 61571256551424.

The previous prime is 201577956116441. The next prime is 201577956116503. The reversal of 201577956116472 is 274611659775102.

201577956116472 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 7 + 7 + 9 + 5 + 611 + 6 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (201577956116441) and next prime (201577956116503).

It is a super-2 number, since 2×201577956116472² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261611733 + ... + 262381124.

Almost surely, 2^{201577956116472} is an apocalyptic number.

It is an amenable number.

201577956116472 is an abundant number, since it is smaller than the sum of its proper divisors (405834564877128).

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

201577956116472 is a wasteful number, since it uses less digits than its factorization.

201577956116472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523993022 (or 523993012 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 201577956116472 in words is "two hundred one trillion, five hundred seventy-seven billion, nine hundred fifty-six million, one hundred sixteen thousand, four hundred seventy-two".