31660216632 has 320 divisors, whose sum is σ = 101114956800. Its totient is φ = 9167074560.

The previous prime is 31660216613. The next prime is 31660216669. The reversal of 31660216632 is 23661206613.

31660216632 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 0 + 2 + 16 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 21290593 + ... + 21292079.

It is an arithmetic number, because the mean of its divisors is an integer number (315984240).

Almost surely, 2^31660216632 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 31660216632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50557478400).

31660216632 is an abundant number, since it is smaller than the sum of its proper divisors (69454740168).

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

31660216632 is a wasteful number, since it uses less digits than its factorization.

31660216632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 31660216632 in words is "thirty-one billion, six hundred sixty million, two hundred sixteen thousand, six hundred thirty-two".