164513315088 has 80 divisors (see below), whose sum is σ = 478682923840. Its totient is φ = 54086558976.

The previous prime is 164513315077. The next prime is 164513315101. The reversal of 164513315088 is 880513315461.

164513315088 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 133 + 1 + 508 + 8 = 666.

164513315088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2576806 + ... + 2639877.

It is an arithmetic number, because the mean of its divisors is an integer number (5983536548).

Almost surely, 2^164513315088 is an apocalyptic number.

164513315088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164513315088 is an abundant number, since it is smaller than the sum of its proper divisors (314169608752).

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

164513315088 is a wasteful number, since it uses less digits than its factorization.

164513315088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216773 (or 5216761 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 164513315088 in words is "one hundred sixty-four billion, five hundred thirteen million, three hundred fifteen thousand, eighty-eight".