32125645561644 has 144 divisors (see below), whose sum is σ = 85915194019200. Its totient is φ = 10105019785728.

The previous prime is 32125645561637. The next prime is 32125645561679. The reversal of 32125645561644 is 44616554652123.

32125645561644 is a `hidden beast` number, since 3 + 2 + 1 + 25 + 6 + 4 + 556 + 1 + 64 + 4 = 666.

It is a super-3 number, since 3×32125645561644³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34327494 + ... + 35250930.

It is an arithmetic number, because the mean of its divisors is an integer number (596633291800).

Almost surely, 2^{32125645561644} 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 32125645561644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42957597009600).

32125645561644 is an abundant number, since it is smaller than the sum of its proper divisors (53789548457556).

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

32125645561644 is a wasteful number, since it uses less digits than its factorization.

32125645561644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924232 (or 924227 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 32125645561644 in words is "thirty-two trillion, one hundred twenty-five billion, six hundred forty-five million, five hundred sixty-one thousand, six hundred forty-four".