31777575648 has 432 divisors, whose sum is σ = 106742676096. Its totient is φ = 8248181760.

The previous prime is 31777575623. The next prime is 31777575667. The reversal of 31777575648 is 84657577713.

It is a junction number, because it is equal to n+sod(n) for n = 31777575591 and 31777575600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56443015 + ... + 56443577.

It is an arithmetic number, because the mean of its divisors is an integer number (247089528).

Almost surely, 2^31777575648 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 31777575648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53371338048).

31777575648 is an abundant number, since it is smaller than the sum of its proper divisors (74965100448).

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

31777575648 is a wasteful number, since it uses less digits than its factorization.

31777575648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 659 counting only the distinct ones).

The product of its digits is 34574400, while the sum is 60.

The spelling of 31777575648 in words is "thirty-one billion, seven hundred seventy-seven million, five hundred seventy-five thousand, six hundred forty-eight".