13329164304 has 105 divisors (see below), whose sum is σ = 38756425773. Its totient is φ = 4438898496.

The previous prime is 13329164291. The next prime is 13329164341. The reversal of 13329164304 is 40346192331.

The square root of 13329164304 is 115452.

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

13329164304 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 9 + 1 + 643 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6232786704 + 7096377600 = 78948^2 + 84240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12468282 + ... + 12469350.

Almost surely, 2^13329164304 is an apocalyptic number.

13329164304 is the 115452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13329164304

13329164304 is an abundant number, since it is smaller than the sum of its proper divisors (25427261469).

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

13329164304 is an frugal number, since it uses more digits than its factorization.

13329164304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 13329164304 by its sum of digits (36), we get a square (479849914944 = 692712²).

13329164304 divided by its sum of digits (36) gives a square (370254564 = 19242²).

Multiplying 13329164304 by its product of nonzero digits (46656), we get a square (621885489767424 = 24937632²).

The spelling of 13329164304 in words is "thirteen billion, three hundred twenty-nine million, one hundred sixty-four thousand, three hundred four".