12289565664 has 72 divisors (see below), whose sum is σ = 35800888032. Its totient is φ = 3996602880.

The previous prime is 12289565647. The next prime is 12289565671. The reversal of 12289565664 is 46656598221.

12289565664 is a `hidden beast` number, since 1 + 2 + 28 + 9 + 56 + 566 + 4 = 666.

12289565664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12289565664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508584 + ... + 532199.

It is an arithmetic number, because the mean of its divisors is an integer number (497234556).

Almost surely, 2^12289565664 is an apocalyptic number.

It is an amenable number.

12289565664 is an abundant number, since it is smaller than the sum of its proper divisors (23511322368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12289565664 is a wasteful number, since it uses less digits than its factorization.

12289565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040840 (or 1040829 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 12289565664 in words is "twelve billion, two hundred eighty-nine million, five hundred sixty-five thousand, six hundred sixty-four".