164328890625 has 189 divisors, whose sum is σ = 316901666263. Its totient is φ = 82047900000.

The previous prime is 164328890591. The next prime is 164328890629. The reversal of 164328890625 is 526098823461.

The square root of 164328890625 is 405375.

It is a perfect power (a square), and thus also a powerful number.

164328890625 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 2 + 8 + 8 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 143967883761 + 20361006864 = 379431^2 + 142692^2 .

It is not a de Polignac number, because 164328890625 - 2⁹ = 164328890113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164328890629) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3496359352 + ... + 3496359398.

Almost surely, 2^164328890625 is an apocalyptic number.

164328890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164328890625 is the 405375-th square number.

164328890625 is the 202688-th centered octagonal number.

It is an amenable number.

164328890625 is a deficient number, since it is larger than the sum of its proper divisors (152572775638).

164328890625 is an frugal number, since it uses more digits than its factorization.

164328890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 164328890625 in words is "one hundred sixty-four billion, three hundred twenty-eight million, eight hundred ninety thousand, six hundred twenty-five".