38159057664 has 1152 divisors, whose sum is σ = 152374476800. Its totient is φ = 9137111040.

The previous prime is 38159057627. The next prime is 38159057719. The reversal of 38159057664 is 46675095183.

38159057664 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 9 + 0 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×38159057664² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 38159057664 = 282³ + 3366³ = 1740³ + 3204³.

It is a self number, because there is not a number n which added to its sum of digits gives 38159057664.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 370476237 + ... + 370476339.

Almost surely, 2^38159057664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38159057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76187238400).

38159057664 is an abundant number, since it is smaller than the sum of its proper divisors (114215419136).

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

38159057664 is a wasteful number, since it uses less digits than its factorization.

38159057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 38159057664 in words is "thirty-eight billion, one hundred fifty-nine million, fifty-seven thousand, six hundred sixty-four".