164585998864 has 45 divisors (see below), whose sum is σ = 370973894637. Its totient is φ = 70531988352.

The previous prime is 164585998849. The next prime is 164585998873. The reversal of 164585998864 is 468899585461.

The square root of 164585998864 is 405692.

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

164585998864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23810958864 + 140775040000 = 154308^2 + 375200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11352132 + ... + 11366620.

Almost surely, 2^164585998864 is an apocalyptic number.

164585998864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

164585998864 is the 405692-nd square number.

It is an amenable number.

164585998864 is an abundant number, since it is smaller than the sum of its proper divisors (206387895773).

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

164585998864 is an frugal number, since it uses more digits than its factorization.

164585998864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29000 (or 14498 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 73.

The spelling of 164585998864 in words is "one hundred sixty-four billion, five hundred eighty-five million, nine hundred ninety-eight thousand, eight hundred sixty-four".