31456849556496 has 1280 divisors, whose sum is σ = 114602264985600. Its totient is φ = 7193147867136.

The previous prime is 31456849556443. The next prime is 31456849556497. The reversal of 31456849556496 is 69465594865413.

It is not an unprimeable number, because it can be changed into a prime (31456849556497) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37493264845 + ... + 37493265683.

It is an arithmetic number, because the mean of its divisors is an integer number (89533019520).

Almost surely, 2^{31456849556496} 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 31456849556496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57301132492800).

31456849556496 is an abundant number, since it is smaller than the sum of its proper divisors (83145415429104).

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

31456849556496 is a wasteful number, since it uses less digits than its factorization.

31456849556496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its digits is 3359232000, while the sum is 75.

The spelling of 31456849556496 in words is "thirty-one trillion, four hundred fifty-six billion, eight hundred forty-nine million, five hundred fifty-six thousand, four hundred ninety-six".