13488964164 has 81 divisors (see below), whose sum is σ = 36946528983. Its totient is φ = 4147663104.

The previous prime is 13488964157. The next prime is 13488964193. The reversal of 13488964164 is 46146988431.

The square root of 13488964164 is 116142.

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

13488964164 is a `hidden beast` number, since 1 + 348 + 89 + 64 + 164 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5530896900 + 7958067264 = 74370^2 + 89208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13488964164.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9058332 + ... + 9059820.

Almost surely, 2^13488964164 is an apocalyptic number.

13488964164 is the 116142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13488964164

13488964164 is an abundant number, since it is smaller than the sum of its proper divisors (23457564819).

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

13488964164 is a wasteful number, since it uses less digits than its factorization.

13488964164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 1507 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 13488964164 in words is "thirteen billion, four hundred eighty-eight million, nine hundred sixty-four thousand, one hundred sixty-four".