38680015451625 has 64 divisors (see below), whose sum is σ = 71517712631040. Its totient is φ = 20628573739200.

The previous prime is 38680015451603. The next prime is 38680015451647. The reversal of 38680015451625 is 52615451008683.

38680015451625 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 0 + 0 + 1 + 5 + 4 + 5 + 1 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (38680015451603) and next prime (38680015451647).

It is not a de Polignac number, because 38680015451625 - 2¹⁴ = 38680015435241 is a prime.

It is a super-2 number, since 2×38680015451625² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97044994 + ... + 97442756.

It is an arithmetic number, because the mean of its divisors is an integer number (1117464259860).

Almost surely, 2^{38680015451625} is an apocalyptic number.

It is an amenable number.

38680015451625 is a deficient number, since it is larger than the sum of its proper divisors (32837697179415).

38680015451625 is a wasteful number, since it uses less digits than its factorization.

38680015451625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426600 (or 426584 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 38680015451625 in words is "thirty-eight trillion, six hundred eighty billion, fifteen million, four hundred fifty-one thousand, six hundred twenty-five".