83645638164 has 72 divisors (see below), whose sum is σ = 235011303072. Its totient is φ = 24868908480.

The previous prime is 83645638129. The next prime is 83645638189. The reversal of 83645638164 is 46183654638.

83645638164 is a `hidden beast` number, since 8 + 3 + 64 + 563 + 8 + 16 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 83645638164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971714 + ... + 2013689.

It is an arithmetic number, because the mean of its divisors is an integer number (3264045876).

Almost surely, 2^83645638164 is an apocalyptic number.

It is an amenable number.

83645638164 is an abundant number, since it is smaller than the sum of its proper divisors (151365664908).

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

83645638164 is a wasteful number, since it uses less digits than its factorization.

83645638164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985477 (or 3985472 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 83645638164 in words is "eighty-three billion, six hundred forty-five million, six hundred thirty-eight thousand, one hundred sixty-four".