12714814875360 has 768 divisors, whose sum is σ = 45924792238080. Its totient is φ = 2934253486080.

The previous prime is 12714814875341. The next prime is 12714814875377. The reversal of 12714814875360 is 6357841841721.

It is a self number, because there is not a number n which added to its sum of digits gives 12714814875360.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1710586204 + ... + 1710593636.

It is an arithmetic number, because the mean of its divisors is an integer number (59797906560).

Almost surely, 2^{12714814875360} is an apocalyptic number.

12714814875360 is a gapful number since it is divisible by the number (10) 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 12714814875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22962396119040).

12714814875360 is an abundant number, since it is smaller than the sum of its proper divisors (33209977362720).

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

12714814875360 is a wasteful number, since it uses less digits than its factorization.

12714814875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 12714814875360 in words is "twelve trillion, seven hundred fourteen billion, eight hundred fourteen million, eight hundred seventy-five thousand, three hundred sixty".