31688262144 has 720 divisors, whose sum is σ = 120219555456. Its totient is φ = 7850557440.

The previous prime is 31688262143. The next prime is 31688262211. The reversal of 31688262144 is 44126288613.

31688262144 is a `hidden beast` number, since 3 + 16 + 8 + 8 + 2 + 621 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31688262144.

It is not an unprimeable number, because it can be changed into a prime (31688262143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89768272 + ... + 89768624.

Almost surely, 2^31688262144 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 31688262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60109777728).

31688262144 is an abundant number, since it is smaller than the sum of its proper divisors (88531293312).

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

31688262144 is a wasteful number, since it uses less digits than its factorization.

31688262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 399 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 31688262144 in words is "thirty-one billion, six hundred eighty-eight million, two hundred sixty-two thousand, one hundred forty-four".