31117026864 has 480 divisors, whose sum is σ = 108353064960. Its totient is φ = 7453555200.

The previous prime is 31117026859. The next prime is 31117026877. The reversal of 31117026864 is 46862071113.

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 95 ways as a sum of consecutive naturals, for example, 393886377 + ... + 393886455.

It is an arithmetic number, because the mean of its divisors is an integer number (225735552).

Almost surely, 2^31117026864 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 31117026864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54176532480).

31117026864 is an abundant number, since it is smaller than the sum of its proper divisors (77236038096).

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

31117026864 is a wasteful number, since it uses less digits than its factorization.

31117026864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

Adding to 31117026864 its reverse (46862071113), we get a palindrome (77979097977).

The spelling of 31117026864 in words is "thirty-one billion, one hundred seventeen million, twenty-six thousand, eight hundred sixty-four".