12581742394368 has 528 divisors, whose sum is σ = 43377037017600. Its totient is φ = 3434330161152.

The previous prime is 12581742394307. The next prime is 12581742394387. The reversal of 12581742394368 is 86349324718521.

It is a happy number.

12581742394368 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 174 + 23 + 9 + 436 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1345780158 + ... + 1345789506.

It is an arithmetic number, because the mean of its divisors is an integer number (82153479200).

Almost surely, 2^{12581742394368} is an apocalyptic number.

12581742394368 is a gapful number since it is divisible by the number (18) 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 12581742394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21688518508800).

12581742394368 is an abundant number, since it is smaller than the sum of its proper divisors (30795294623232).

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

12581742394368 is a wasteful number, since it uses less digits than its factorization.

12581742394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312 (or 10291 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 12581742394368 in words is "twelve trillion, five hundred eighty-one billion, seven hundred forty-two million, three hundred ninety-four thousand, three hundred sixty-eight".