12818393856000 has 3456 divisors, whose sum is σ = 54825106452480. Its totient is φ = 2978021376000.

The previous prime is 12818393855987. The next prime is 12818393856011. The reversal of 12818393856000 is 65839381821.

12818393856000 is a `hidden beast` number, since 1 + 2 + 8 + 18 + 39 + 38 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×12818393856000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 413496575985 + ... + 413496576015.

It is an arithmetic number, because the mean of its divisors is an integer number (15863746080).

Almost surely, 2^{12818393856000} is an apocalyptic number.

12818393856000 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 12818393856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412553226240).

12818393856000 is an abundant number, since it is smaller than the sum of its proper divisors (42006712596480).

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

12818393856000 is an equidigital number, since it uses as much as digits as its factorization.

12818393856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12818393856000 in words is "twelve trillion, eight hundred eighteen billion, three hundred ninety-three million, eight hundred fifty-six thousand".