12886407123408 has 400 divisors, whose sum is σ = 47384788734976. Its totient is φ = 3288979261440.

The previous prime is 12886407123389. The next prime is 12886407123431. The reversal of 12886407123408 is 80432170468821.

12886407123408 is a `hidden beast` number, since 1 + 288 + 6 + 4 + 0 + 7 + 12 + 340 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1893660 + ... + 5418372.

Almost surely, 2^{12886407123408} is an apocalyptic number.

12886407123408 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 12886407123408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23692394367488).

12886407123408 is an abundant number, since it is smaller than the sum of its proper divisors (34498381611568).

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

12886407123408 is a wasteful number, since it uses less digits than its factorization.

12886407123408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524784 (or 3524769 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 12886407123408 in words is "twelve trillion, eight hundred eighty-six billion, four hundred seven million, one hundred twenty-three thousand, four hundred eight".