31660884864 has 768 divisors, whose sum is σ = 116445288960. Its totient is φ = 8051097600.

The previous prime is 31660884841. The next prime is 31660884869. The reversal of 31660884864 is 46848806613.

It is a self number, because there is not a number n which added to its sum of digits gives 31660884864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31660884869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241686079 + ... + 241686209.

It is an arithmetic number, because the mean of its divisors is an integer number (151621470).

Almost surely, 2^31660884864 is an apocalyptic number.

31660884864 is a gapful number since it is divisible by the number (34) 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 31660884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58222644480).

31660884864 is an abundant number, since it is smaller than the sum of its proper divisors (84784404096).

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

31660884864 is a wasteful number, since it uses less digits than its factorization.

31660884864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 31660884864 in words is "thirty-one billion, six hundred sixty million, eight hundred eighty-four thousand, eight hundred sixty-four".