13664718482724 has 81 divisors (see below), whose sum is σ = 36693749925651. Its totient is φ = 4286852213760.

The previous prime is 13664718482689. The next prime is 13664718482729. The reversal of 13664718482724 is 42728481746631.

It is a happy number.

The square root of 13664718482724 is 3696582.

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

13664718482724 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 471 + 84 + 82 + 7 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2153409502500 + 11511308980224 = 1467450^2 + 3392832^2 .

It is not an unprimeable number, because it can be changed into a prime (13664718482729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 377033244 + ... + 377069484.

Almost surely, 2^{13664718482724} is an apocalyptic number.

13664718482724 is the 3696582-nd square number.

It is an amenable number.

13664718482724 is an abundant number, since it is smaller than the sum of its proper divisors (23029031442927).

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

13664718482724 is an frugal number, since it uses more digits than its factorization.

13664718482724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72526 (or 36263 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 13664718482724 in words is "thirteen trillion, six hundred sixty-four billion, seven hundred eighteen million, four hundred eighty-two thousand, seven hundred twenty-four".