10931745631968 has 432 divisors, whose sum is σ = 38317083727104. Its totient is φ = 2937535856640.

The previous prime is 10931745631897. The next prime is 10931745632021. The reversal of 10931745631968 is 86913654713901.

It is a happy number.

10931745631968 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 1 + 7 + 4 + 563 + 1 + 9 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352883296 + ... + 352914272.

It is an arithmetic number, because the mean of its divisors is an integer number (88696953072).

Almost surely, 2^{10931745631968} is an apocalyptic number.

10931745631968 is a gapful number since it is divisible by the number (18) 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 10931745631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158541863552).

10931745631968 is an abundant number, since it is smaller than the sum of its proper divisors (27385338095136).

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

10931745631968 is a wasteful number, since it uses less digits than its factorization.

10931745631968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32495 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 10931745631968 in words is "ten trillion, nine hundred thirty-one billion, seven hundred forty-five million, six hundred thirty-one thousand, nine hundred sixty-eight".