31449086256960 has 560 divisors, whose sum is σ = 116098121422800. Its totient is φ = 8071305854976.

The previous prime is 31449086256877. The next prime is 31449086256971. The reversal of 31449086256960 is 6965268094413.

31449086256960 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 9 + 0 + 8 + 6 + 2 + 569 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15889280210496 + 15559806046464 = 3986136^2 + 3944592^2 .

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 79 ways as a sum of consecutive naturals, for example, 235209006 + ... + 235342674.

Almost surely, 2^{31449086256960} is an apocalyptic number.

31449086256960 is a gapful number since it is divisible by the number (30) 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 31449086256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58049060711400).

31449086256960 is an abundant number, since it is smaller than the sum of its proper divisors (84649035165840).

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

31449086256960 is a wasteful number, since it uses less digits than its factorization.

31449086256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134040 (or 134021 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 31449086256960 in words is "thirty-one trillion, four hundred forty-nine billion, eighty-six million, two hundred fifty-six thousand, nine hundred sixty".