12993948081 has 9 divisors (see below), whose sum is σ = 18769530091. Its totient is φ = 8662404072.

The previous prime is 12993948059. The next prime is 12993948091. The reversal of 12993948081 is 18084939921.

The square root of 12993948081 is 113991.

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

12993948081 is a `hidden beast` number, since 12 + 99 + 394 + 80 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12504830625 + 489117456 = 111825^2 + 22116^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-12993948081 is a prime.

It is a super-2 number, since 2×12993948081² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12993948031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 322975 + ... + 360971.

Almost surely, 2^12993948081 is an apocalyptic number.

12993948081 is the 113991-st square number.

12993948081 is the 56996-th centered octagonal number.

It is an amenable number.

12993948081 is a deficient number, since it is larger than the sum of its proper divisors (5775582010).

12993948081 is an frugal number, since it uses more digits than its factorization.

12993948081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76000 (or 38000 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 12993948081 in words is "twelve billion, nine hundred ninety-three million, nine hundred forty-eight thousand, eighty-one".