938531360353680 has 160 divisors (see below), whose sum is σ = 3239918953344000. Its totient is φ = 249717623758848.

The previous prime is 938531360353679. The next prime is 938531360353729. The reversal of 938531360353680 is 86353063135839.

938531360353680 is a `hidden beast` number, since 9 + 3 + 8 + 5 + 3 + 13 + 6 + 0 + 3 + 536 + 80 = 666.

It is a super-2 number, since 2×938531360353680² (a number of 31 digits) contains 22 as substring.

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, 482889024 + ... + 484828703.

It is an arithmetic number, because the mean of its divisors is an integer number (20249493458400).

Almost surely, 2^{938531360353680} is an apocalyptic number.

938531360353680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

938531360353680 is an abundant number, since it is smaller than the sum of its proper divisors (2301387592990320).

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

938531360353680 is a wasteful number, since it uses less digits than its factorization.

938531360353680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967718198 (or 967718186 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 938531360353680 in words is "nine hundred thirty-eight trillion, five hundred thirty-one billion, three hundred sixty million, three hundred fifty-three thousand, six hundred eighty".