12975249394368 has 560 divisors, whose sum is σ = 41268482221824. Its totient is φ = 4020465715200.

The previous prime is 12975249394363. The next prime is 12975249394369. The reversal of 12975249394368 is 86349394257921.

12975249394368 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 524 + 9 + 3 + 94 + 3 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12975249394296 and 12975249394305.

It is not an unprimeable number, because it can be changed into a prime (12975249394363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6401207371 + ... + 6401209397.

Almost surely, 2^{12975249394368} is an apocalyptic number.

12975249394368 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 12975249394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20634241110912).

12975249394368 is an abundant number, since it is smaller than the sum of its proper divisors (28293232827456).

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

12975249394368 is a wasteful number, since it uses less digits than its factorization.

12975249394368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3543 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 12975249394368 in words is "twelve trillion, nine hundred seventy-five billion, two hundred forty-nine million, three hundred ninety-four thousand, three hundred sixty-eight".