12586196576209 has 9 divisors (see below), whose sum is σ = 12609309597339. Its totient is φ = 12563125863600.

The previous prime is 12586196576197. The next prime is 12586196576287. The reversal of 12586196576209 is 90267569168521.

The square root of 12586196576209 is 3547703.

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

It can be written as a sum of positive squares in only one way, i.e., 10579101017809 + 2007095558400 = 3252553^2 + 1416720^2 .

It is not a de Polignac number, because 12586196576209 - 2⁹ = 12586196575697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12586196576909) 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, 2132166552 + ... + 2132172454.

Almost surely, 2^{12586196576209} is an apocalyptic number.

12586196576209 is the 3547703-rd square number.

12586196576209 is the 1773852-nd centered octagonal number.

It is an amenable number.

12586196576209 is a deficient number, since it is larger than the sum of its proper divisors (23113021130).

12586196576209 is an frugal number, since it uses more digits than its factorization.

12586196576209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13008 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 67.

The spelling of 12586196576209 in words is "twelve trillion, five hundred eighty-six billion, one hundred ninety-six million, five hundred seventy-six thousand, two hundred nine".