13388661538704 has 135 divisors (see below), whose sum is σ = 37999068405363. Its totient is φ = 4400697931776.

The previous prime is 13388661538667. The next prime is 13388661538709. The reversal of 13388661538704 is 40783516688331.

It is a happy number.

The square root of 13388661538704 is 3659052.

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

13388661538704 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 8 + 6 + 615 + 3 + 8 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3945578377104 + 9443083161600 = 1986348^2 + 3072960^2 .

It is not an unprimeable number, because it can be changed into a prime (13388661538709) 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, 3205327464 + ... + 3205331640.

Almost surely, 2^{13388661538704} is an apocalyptic number.

13388661538704 is the 3659052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13388661538704

13388661538704 is an abundant number, since it is smaller than the sum of its proper divisors (24610406866659).

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

13388661538704 is an frugal number, since it uses more digits than its factorization.

13388661538704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 13388661538704 in words is "thirteen trillion, three hundred eighty-eight billion, six hundred sixty-one million, five hundred thirty-eight thousand, seven hundred four".