32131584113664 has 704 divisors, whose sum is σ = 103702042386432. Its totient is φ = 8650594713600.

The previous prime is 32131584113599. The next prime is 32131584113701. The reversal of 32131584113664 is 46631148513123.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20690008312 + ... + 20690009864.

Almost surely, 2^{32131584113664} 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 32131584113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51851021193216).

32131584113664 is an abundant number, since it is smaller than the sum of its proper divisors (71570458272768).

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

32131584113664 is a wasteful number, since it uses less digits than its factorization.

32131584113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2394 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 32131584113664 in words is "thirty-two trillion, one hundred thirty-one billion, five hundred eighty-four million, one hundred thirteen thousand, six hundred sixty-four".