31309926411456 has 1344 divisors, whose sum is σ = 120074337976320. Its totient is φ = 7850525184000.

The previous prime is 31309926411371. The next prime is 31309926411457. The reversal of 31309926411456 is 65411462990313.

31309926411456 is a `hidden beast` number, since 3 + 1 + 30 + 9 + 92 + 64 + 11 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×31309926411456² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31309926411457) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20083338805 + ... + 20083340363.

It is an arithmetic number, because the mean of its divisors is an integer number (89341025280).

Almost surely, 2^{31309926411456} is an apocalyptic number.

31309926411456 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 31309926411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60037168988160).

31309926411456 is an abundant number, since it is smaller than the sum of its proper divisors (88764411564864).

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

31309926411456 is a wasteful number, since it uses less digits than its factorization.

31309926411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 31309926411456 in words is "thirty-one trillion, three hundred nine billion, nine hundred twenty-six million, four hundred eleven thousand, four hundred fifty-six".