12842568824409 has 81 divisors (see below), whose sum is σ = 19571728139509. Its totient is φ = 8114250468720.

The previous prime is 12842568824341. The next prime is 12842568824417. The reversal of 12842568824409 is 90442886524821.

The square root of 12842568824409 is 3583653.

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

12842568824409 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 2 + 568 + 8 + 24 + 40 + 9 = 666.

It is not a de Polignac number, because 12842568824409 - 2⁹ = 12842568823897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12842568824489) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41294433364 + ... + 41294433674.

Almost surely, 2^{12842568824409} is an apocalyptic number.

12842568824409 is the 3583653-rd square number.

12842568824409 is the 1791827-th centered octagonal number.

It is an amenable number.

12842568824409 is a deficient number, since it is larger than the sum of its proper divisors (6729159315100).

12842568824409 is an frugal number, since it uses more digits than its factorization.

12842568824409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 12842568824409 in words is "twelve trillion, eight hundred forty-two billion, five hundred sixty-eight million, eight hundred twenty-four thousand, four hundred nine".