12338988561 has 27 divisors (see below), whose sum is σ = 18149854203. Its totient is φ = 8077810320.

The previous prime is 12338988547. The next prime is 12338988583. The reversal of 12338988561 is 16588983321.

The square root of 12338988561 is 111081.

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

12338988561 is a `hidden beast` number, since 123 + 389 + 8 + 85 + 61 = 666.

12338988561 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., 401240961 + 11937747600 = 20031^2 + 109260^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12338988561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12338988498 and 12338988507.

It is not an unprimeable number, because it can be changed into a prime (12338988511) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 20327520 + ... + 20328126.

Almost surely, 2^12338988561 is an apocalyptic number.

12338988561 is the 111081-st square number.

12338988561 is the 55541-st centered octagonal number.

It is an amenable number.

12338988561 is a deficient number, since it is larger than the sum of its proper divisors (5810865642).

12338988561 is an frugal number, since it uses more digits than its factorization.

12338988561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 671 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 12338988561 in words is "twelve billion, three hundred thirty-eight million, nine hundred eighty-eight thousand, five hundred sixty-one".