164816573625 has 192 divisors, whose sum is σ = 336788824320. Its totient is φ = 76812288000.

The previous prime is 164816573617. The next prime is 164816573651. The reversal of 164816573625 is 526375618461.

It is a happy number.

164816573625 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 1 + 6 + 5 + 7 + 3 + 625 = 666.

It is not a de Polignac number, because 164816573625 - 2³ = 164816573617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92229982 + ... + 92231768.

It is an arithmetic number, because the mean of its divisors is an integer number (1754108460).

Almost surely, 2^164816573625 is an apocalyptic number.

164816573625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164816573625 is an abundant number, since it is smaller than the sum of its proper divisors (171972250695).

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

164816573625 is a wasteful number, since it uses less digits than its factorization.

164816573625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2092 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 164816573625 in words is "one hundred sixty-four billion, eight hundred sixteen million, five hundred seventy-three thousand, six hundred twenty-five".