12941883935289 has 27 divisors (see below), whose sum is σ = 18833431331533. Its totient is φ = 8563966570752.

The previous prime is 12941883935257. The next prime is 12941883935333. The reversal of 12941883935289 is 98253938814921.

The square root of 12941883935289 is 3597483.

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

12941883935289 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 1 + 8 + 8 + 3 + 93 + 528 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3060165944889 + 9881717990400 = 1749333^2 + 3143520^2 .

It is not a de Polignac number, because 12941883935289 - 2⁵ = 12941883935257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12941883935249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1478561137 + ... + 1478569889.

Almost surely, 2^{12941883935289} is an apocalyptic number.

12941883935289 is the 3597483-rd square number.

12941883935289 is the 1798742-nd centered octagonal number.

It is an amenable number.

12941883935289 is a deficient number, since it is larger than the sum of its proper divisors (5891547396244).

12941883935289 is an frugal number, since it uses more digits than its factorization.

12941883935289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17786 (or 8893 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 12941883935289 in words is "twelve trillion, nine hundred forty-one billion, eight hundred eighty-three million, nine hundred thirty-five thousand, two hundred eighty-nine".