938131009056 has 192 divisors, whose sum is σ = 2775538483200. Its totient is φ = 308229712128.

The previous prime is 938131009021. The next prime is 938131009061. The reversal of 938131009056 is 650900131839.

It is a super-2 number, since 2×938131009056² (a number of 25 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, 41420071 + ... + 41442713.

It is an arithmetic number, because the mean of its divisors is an integer number (14455929600).

Almost surely, 2^938131009056 is an apocalyptic number.

938131009056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938131009056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387769241600).

938131009056 is an abundant number, since it is smaller than the sum of its proper divisors (1837407474144).

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

938131009056 is a wasteful number, since it uses less digits than its factorization.

938131009056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23348 (or 23334 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 938131009056 in words is "nine hundred thirty-eight billion, one hundred thirty-one million, nine thousand, fifty-six".