12668843517984 has 192 divisors, whose sum is σ = 37238387760000. Its totient is φ = 4190164909056.

The previous prime is 12668843517943. The next prime is 12668843517989. The reversal of 12668843517984 is 48971534886621.

12668843517984 is a `hidden beast` number, since 1 + 2 + 6 + 68 + 8 + 43 + 517 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12668843517989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86256642 + ... + 86403390.

It is an arithmetic number, because the mean of its divisors is an integer number (193949936250).

Almost surely, 2^{12668843517984} 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 12668843517984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18619193880000).

12668843517984 is an abundant number, since it is smaller than the sum of its proper divisors (24569544242016).

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

12668843517984 is a wasteful number, since it uses less digits than its factorization.

12668843517984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147544 (or 147530 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 12668843517984 in words is "twelve trillion, six hundred sixty-eight billion, eight hundred forty-three million, five hundred seventeen thousand, nine hundred eighty-four".