164652835320900 has 162 divisors, whose sum is σ = 544687695921642. Its totient is φ = 41596505683200.

The previous prime is 164652835320877. The next prime is 164652835320901. The reversal of 164652835320900 is 9023538256461.

It is a happy number.

164652835320900 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 528 + 3 + 5 + 3 + 20 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1115338761216 + 163537496559684 = 1056096^2 + 12788178^2 .

It is a super-2 number, since 2×164652835320900² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164652835320901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 253065121 + ... + 253714920.

Almost surely, 2^{164652835320900} is an apocalyptic number.

164652835320900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164652835320900 is an abundant number, since it is smaller than the sum of its proper divisors (380034860600742).

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

164652835320900 is a wasteful number, since it uses less digits than its factorization.

164652835320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506780099 (or 506780070 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 164652835320900 in words is "one hundred sixty-four trillion, six hundred fifty-two billion, eight hundred thirty-five million, three hundred twenty thousand, nine hundred".