12156689664 has 432 divisors, whose sum is σ = 42931848960. Its totient is φ = 3229286400.

The previous prime is 12156689653. The next prime is 12156689689. The reversal of 12156689664 is 46698665121.

12156689664 is a `hidden beast` number, since 12 + 1 + 566 + 8 + 9 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12156689664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27691557 + ... + 27691995.

It is an arithmetic number, because the mean of its divisors is an integer number (99379280).

Almost surely, 2^12156689664 is an apocalyptic number.

12156689664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12156689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21465924480).

12156689664 is an abundant number, since it is smaller than the sum of its proper divisors (30775159296).

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

12156689664 is a wasteful number, since it uses less digits than its factorization.

12156689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 12156689664 in words is "twelve billion, one hundred fifty-six million, six hundred eighty-nine thousand, six hundred sixty-four".