12984385041 has 24 divisors (see below), whose sum is σ = 19125700776. Its totient is φ = 8485551360.

The previous prime is 12984385013. The next prime is 12984385067. The reversal of 12984385041 is 14058348921.

12984385041 is a `hidden beast` number, since 12 + 98 + 43 + 8 + 504 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97594641 + 12886790400 = 9879^2 + 113520^2 .

It is not a de Polignac number, because 12984385041 - 2⁵ = 12984385009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12984385081) 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 23 ways as a sum of consecutive naturals, for example, 567381 + ... + 589821.

It is an arithmetic number, because the mean of its divisors is an integer number (796904199).

Almost surely, 2^12984385041 is an apocalyptic number.

It is an amenable number.

12984385041 is a deficient number, since it is larger than the sum of its proper divisors (6141315735).

12984385041 is a wasteful number, since it uses less digits than its factorization.

12984385041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23713 (or 23710 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12984385041 in words is "twelve billion, nine hundred eighty-four million, three hundred eighty-five thousand, forty-one".