931393230768 has 2560 divisors, whose sum is σ = 4047100968960. Its totient is φ = 197074944000.

The previous prime is 931393230689. The next prime is 931393230773. The reversal of 931393230768 is 867032393139.

931393230768 is a `hidden beast` number, since 9 + 313 + 93 + 230 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 511 ways as a sum of consecutive naturals, for example, 13901391471 + ... + 13901391537.

It is an arithmetic number, because the mean of its divisors is an integer number (1580898816).

Almost surely, 2^931393230768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 931393230768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023550484480).

931393230768 is an abundant number, since it is smaller than the sum of its proper divisors (3115707738192).

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

931393230768 is a wasteful number, since it uses less digits than its factorization.

931393230768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 931393230768 in words is "nine hundred thirty-one billion, three hundred ninety-three million, two hundred thirty thousand, seven hundred sixty-eight".