12668305644072 has 160 divisors (see below), whose sum is σ = 38252567402280. Its totient is φ = 3893847552000.

The previous prime is 12668305644061. The next prime is 12668305644079. The reversal of 12668305644072 is 27044650386621.

12668305644072 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 8 + 3 + 0 + 564 + 4 + 0 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10765577836836 + 1902727807236 = 3281094^2 + 1379394^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12668305644079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7239072 + ... + 8817072.

Almost surely, 2^{12668305644072} is an apocalyptic number.

12668305644072 is a gapful number since it is divisible by the number (12) 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 12668305644072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126283701140).

12668305644072 is an abundant number, since it is smaller than the sum of its proper divisors (25584261758208).

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

12668305644072 is a wasteful number, since it uses less digits than its factorization.

12668305644072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578985 (or 1578972 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 12668305644072 in words is "twelve trillion, six hundred sixty-eight billion, three hundred five million, six hundred forty-four thousand, seventy-two".