12597026494441 has 9 divisors (see below), whose sum is σ = 12667653851013. Its totient is φ = 12526790801760.

The previous prime is 12597026494387. The next prime is 12597026494447. The reversal of 12597026494441 is 14449462079521.

The square root of 12597026494441 is 3549229.

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

It can be written as a sum of positive squares in 4 ways, for example, as 48853818841 + 12548172675600 = 221029^2 + 3542340^2 .

It is not a de Polignac number, because 12597026494441 - 2⁹ = 12597026493929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12597026494447) 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, 642400645 + ... + 642420253.

It is an arithmetic number, because the mean of its divisors is an integer number (1407517094557).

Almost surely, 2^{12597026494441} is an apocalyptic number.

12597026494441 is the 3549229-th square number.

12597026494441 is the 1774615-th centered octagonal number.

It is an amenable number.

12597026494441 is a deficient number, since it is larger than the sum of its proper divisors (70627356572).

12597026494441 is an frugal number, since it uses more digits than its factorization.

12597026494441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39580 (or 19790 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 12597026494441 in words is "twelve trillion, five hundred ninety-seven billion, twenty-six million, four hundred ninety-four thousand, four hundred forty-one".