12597935113449 has 135 divisors (see below), whose sum is σ = 22333503162663. Its totient is φ = 7056348874848.

The previous prime is 12597935113409. The next prime is 12597935113453. The reversal of 12597935113449 is 94431153979521.

The square root of 12597935113449 is 3549357.

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

12597935113449 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 79 + 3 + 5 + 113 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9081815096025 + 3516120017424 = 3013605^2 + 1875132^2 .

It is not a de Polignac number, because 12597935113449 - 2²³ = 12597926724841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12597935113409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11851302492 + ... + 11851303554.

Almost surely, 2^{12597935113449} is an apocalyptic number.

12597935113449 is the 3549357-th square number.

12597935113449 is the 1774679-th centered octagonal number.

It is an amenable number.

12597935113449 is a deficient number, since it is larger than the sum of its proper divisors (9735568049214).

12597935113449 is an frugal number, since it uses more digits than its factorization.

12597935113449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 1126 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 12597935113449 in words is "twelve trillion, five hundred ninety-seven billion, nine hundred thirty-five million, one hundred thirteen thousand, four hundred forty-nine".