38656462736160 has 96 divisors (see below), whose sum is σ = 135297619591680. Its totient is φ = 10308390061824.

The previous prime is 38656462736149. The next prime is 38656462736167. The reversal of 38656462736160 is 6163726465683.

38656462736160 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 6 + 4 + 6 + 2 + 7 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38656462736160² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38656462736167) by changing a digit.

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, 4474123312 + ... + 4474131951.

It is an arithmetic number, because the mean of its divisors is an integer number (1409350204080).

Almost surely, 2^{38656462736160} is an apocalyptic number.

38656462736160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38656462736160 is an abundant number, since it is smaller than the sum of its proper divisors (96641156855520).

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

38656462736160 is a wasteful number, since it uses less digits than its factorization.

38656462736160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948255287 (or 8948255273 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 38656462736160 in words is "thirty-eight trillion, six hundred fifty-six billion, four hundred sixty-two million, seven hundred thirty-six thousand, one hundred sixty".