12642645795168 has 288 divisors, whose sum is σ = 35395799281920. Its totient is φ = 3950392642560.

The previous prime is 12642645795097. The next prime is 12642645795181. The reversal of 12642645795168 is 86159754624621.

12642645795168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12642645795168² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12642645795099 and 12642645795108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629833146 + ... + 1629840902.

It is an arithmetic number, because the mean of its divisors is an integer number (122902080840).

Almost surely, 2^{12642645795168} 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 12642645795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697899640960).

12642645795168 is an abundant number, since it is smaller than the sum of its proper divisors (22753153486752).

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

12642645795168 is a wasteful number, since it uses less digits than its factorization.

12642645795168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8271 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 66.

The spelling of 12642645795168 in words is "twelve trillion, six hundred forty-two billion, six hundred forty-five million, seven hundred ninety-five thousand, one hundred sixty-eight".