84164718564 has 36 divisors (see below), whose sum is σ = 212872626876. Its totient is φ = 28038696768.

The previous prime is 84164718563. The next prime is 84164718569. The reversal of 84164718564 is 46581746148.

84164718564 is a `hidden beast` number, since 8 + 4 + 1 + 6 + 4 + 71 + 8 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64207505664 + 19957212900 = 253392^2 + 141270^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84164718564.

It is not an unprimeable number, because it can be changed into a prime (84164718563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612139 + ... + 736914.

Almost surely, 2^84164718564 is an apocalyptic number.

It is an amenable number.

84164718564 is an abundant number, since it is smaller than the sum of its proper divisors (128707908312).

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

84164718564 is a wasteful number, since it uses less digits than its factorization.

84164718564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350796 (or 1350791 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 84164718564 in words is "eighty-four billion, one hundred sixty-four million, seven hundred eighteen thousand, five hundred sixty-four".