82533544632 has 192 divisors, whose sum is σ = 290801871360. Its totient is φ = 20505196800.

The previous prime is 82533544607. The next prime is 82533544651. The reversal of 82533544632 is 23644533528.

82533544632 is a `hidden beast` number, since 8 + 2 + 5 + 3 + 3 + 5 + 4 + 4 + 632 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 196119 + ... + 451142.

It is an arithmetic number, because the mean of its divisors is an integer number (1514593080).

Almost surely, 2^82533544632 is an apocalyptic number.

It is an amenable number.

82533544632 is an abundant number, since it is smaller than the sum of its proper divisors (208268326728).

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

82533544632 is a wasteful number, since it uses less digits than its factorization.

82533544632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647314 (or 647307 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 82533544632 in words is "eighty-two billion, five hundred thirty-three million, five hundred forty-four thousand, six hundred thirty-two".