12766966081 has 9 divisors (see below), whose sum is σ = 12903883491. Its totient is φ = 12631489872.

The previous prime is 12766966049. The next prime is 12766966099. The reversal of 12766966081 is 18066966721.

The square root of 12766966081 is 112991.

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

12766966081 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., 3630665025 + 9136301056 = 60255^2 + 95584^2 .

It is not a de Polignac number, because 12766966081 - 2⁵ = 12766966049 is a prime.

It is a super-2 number, since 2×12766966081² (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 (12766966031) 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 8 ways as a sum of consecutive naturals, for example, 11637525 + ... + 11638621.

Almost surely, 2^12766966081 is an apocalyptic number.

12766966081 is the 112991-st square number.

12766966081 is the 56496-th centered octagonal number.

It is an amenable number.

12766966081 is a deficient number, since it is larger than the sum of its proper divisors (136917410).

12766966081 is an frugal number, since it uses more digits than its factorization.

12766966081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 12766966081 in words is "twelve billion, seven hundred sixty-six million, nine hundred sixty-six thousand, eighty-one".