938426934332160 has 10368 divisors, whose sum is σ = 4834594540339200. Its totient is φ = 163419798896640.

The previous prime is 938426934332149. The next prime is 938426934332161. The reversal of 938426934332160 is 61233439624839.

938426934332160 is a `hidden beast` number, since 9 + 3 + 8 + 4 + 269 + 3 + 43 + 321 + 6 + 0 = 666.

It is a super-2 number, since 2×938426934332160² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (938426934332161) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 30271836591345 + ... + 30271836591375.

Almost surely, 2^{938426934332160} is an apocalyptic number.

938426934332160 is a gapful number since it is divisible by the number (90) 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 938426934332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417297270169600).

938426934332160 is an abundant number, since it is smaller than the sum of its proper divisors (3896167606007040).

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

938426934332160 is a wasteful number, since it uses less digits than its factorization.

938426934332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 63.

The spelling of 938426934332160 in words is "nine hundred thirty-eight trillion, four hundred twenty-six billion, nine hundred thirty-four million, three hundred thirty-two thousand, one hundred sixty".