12657186168 has 128 divisors (see below), whose sum is σ = 35695779840. Its totient is φ = 3705264000.

The previous prime is 12657186133. The next prime is 12657186169. The reversal of 12657186168 is 86168175621.

It is a self number, because there is not a number n which added to its sum of digits gives 12657186168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12657186169) 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 31 ways as a sum of consecutive naturals, for example, 6636271 + ... + 6638177.

It is an arithmetic number, because the mean of its divisors is an integer number (278873280).

Almost surely, 2^12657186168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12657186168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847889920).

12657186168 is an abundant number, since it is smaller than the sum of its proper divisors (23038593672).

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

12657186168 is a wasteful number, since it uses less digits than its factorization.

12657186168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2765 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The spelling of 12657186168 in words is "twelve billion, six hundred fifty-seven million, one hundred eighty-six thousand, one hundred sixty-eight".