31371480566496 has 384 divisors, whose sum is σ = 105892082795520. Its totient is φ = 8960784952320.

The previous prime is 31371480566483. The next prime is 31371480566501. The reversal of 31371480566496 is 69466508417313.

It is a happy number.

31371480566496 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 1 + 4 + 80 + 5 + 66 + 496 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2443065036 + ... + 2443077876.

It is an arithmetic number, because the mean of its divisors is an integer number (275760632280).

Almost surely, 2^{31371480566496} is an apocalyptic number.

31371480566496 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 31371480566496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52946041397760).

31371480566496 is an abundant number, since it is smaller than the sum of its proper divisors (74520602229024).

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

31371480566496 is an equidigital number, since it uses as much as digits as its factorization.

31371480566496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17866 (or 17840 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 31371480566496 in words is "thirty-one trillion, three hundred seventy-one billion, four hundred eighty million, five hundred sixty-six thousand, four hundred ninety-six".