12445427362368 has 448 divisors, whose sum is σ = 44375056588800. Its totient is φ = 2972895436800.

The previous prime is 12445427362349. The next prime is 12445427362391. The reversal of 12445427362368 is 86326372454421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×12445427362368² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51964558 + ... + 52203506.

It is an arithmetic number, because the mean of its divisors is an integer number (99051465600).

Almost surely, 2^{12445427362368} 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 12445427362368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22187528294400).

12445427362368 is an abundant number, since it is smaller than the sum of its proper divisors (31929629226432).

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

12445427362368 is a wasteful number, since it uses less digits than its factorization.

12445427362368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239266 (or 239256 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 57.

The spelling of 12445427362368 in words is "twelve trillion, four hundred forty-five billion, four hundred twenty-seven million, three hundred sixty-two thousand, three hundred sixty-eight".