31081968703296 has 672 divisors, whose sum is σ = 109314691200000. Its totient is φ = 8630248467456.

The previous prime is 31081968703277. The next prime is 31081968703309. The reversal of 31081968703296 is 69230786918013.

31081968703296 is a `hidden beast` number, since 310 + 81 + 9 + 68 + 70 + 32 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 724516855 + ... + 724559753.

Almost surely, 2^{31081968703296} is an apocalyptic number.

31081968703296 is a gapful number since it is divisible by the number (36) 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 31081968703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54657345600000).

31081968703296 is an abundant number, since it is smaller than the sum of its proper divisors (78232722496704).

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

31081968703296 is a wasteful number, since it uses less digits than its factorization.

31081968703296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43176 (or 43153 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 31081968703296 in words is "thirty-one trillion, eighty-one billion, nine hundred sixty-eight million, seven hundred three thousand, two hundred ninety-six".