163664433065088 has 192 divisors, whose sum is σ = 500367015603000. Its totient is φ = 51170461384704.

The previous prime is 163664433065047. The next prime is 163664433065101. The reversal of 163664433065088 is 880560334466361.

163664433065088 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 64 + 433 + 0 + 65 + 0 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 162585144788544 + 1079288276544 = 12750888^2 + 1038888^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 8523063 + ... + 19999286.

Almost surely, 2^{163664433065088} is an apocalyptic number.

163664433065088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

163664433065088 is an abundant number, since it is smaller than the sum of its proper divisors (336702582537912).

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

163664433065088 is a wasteful number, since it uses less digits than its factorization.

163664433065088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28522679 (or 28522664 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 163664433065088 in words is "one hundred sixty-three trillion, six hundred sixty-four billion, four hundred thirty-three million, sixty-five thousand, eighty-eight".