12856817664 has 480 divisors, whose sum is σ = 41954552640. Its totient is φ = 3906994176.

The previous prime is 12856817657. The next prime is 12856817671. The reversal of 12856817664 is 46671865821.

12856817664 is a `hidden beast` number, since 1 + 2 + 8 + 568 + 1 + 76 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12856817657) and next prime (12856817671).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12856817664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132544464 + ... + 132544560.

It is an arithmetic number, because the mean of its divisors is an integer number (87405318).

Almost surely, 2^12856817664 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 12856817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977276320).

12856817664 is an abundant number, since it is smaller than the sum of its proper divisors (29097734976).

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

12856817664 is an equidigital number, since it uses as much as digits as its factorization.

12856817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 12856817664 in words is "twelve billion, eight hundred fifty-six million, eight hundred seventeen thousand, six hundred sixty-four".