13981170564 has 45 divisors (see below), whose sum is σ = 36555106357. Its totient is φ = 4659680736.

The previous prime is 13981170509. The next prime is 13981170607. The reversal of 13981170564 is 46507118931.

The square root of 13981170564 is 118242.

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

13981170564 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 11 + 70 + 564 = 666.

13981170564 is digitally balanced in base 2, 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., 12579416964 + 1401753600 = 112158^2 + 37440^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 2125072 + ... + 2131640.

Almost surely, 2^13981170564 is an apocalyptic number.

13981170564 is the 118242-nd square number.

It is an amenable number.

13981170564 is an abundant number, since it is smaller than the sum of its proper divisors (22573935793).

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

13981170564 is an frugal number, since it uses more digits than its factorization.

13981170564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13154 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 13981170564 in words is "thirteen billion, nine hundred eighty-one million, one hundred seventy thousand, five hundred sixty-four".