12638861427456 has 864 divisors, whose sum is σ = 42564976796160. Its totient is φ = 3566592000000.

The previous prime is 12638861427407. The next prime is 12638861427469. The reversal of 12638861427456 is 65472416883621.

12638861427456 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 8 + 8 + 614 + 2 + 7 + 4 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12638861427393 and 12638861427402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7343904676 + ... + 7343906396.

It is an arithmetic number, because the mean of its divisors is an integer number (49265019440).

Almost surely, 2^{12638861427456} is an apocalyptic number.

12638861427456 is a gapful number since it is divisible by the number (16) 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 12638861427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21282488398080).

12638861427456 is an abundant number, since it is smaller than the sum of its proper divisors (29926115368704).

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

12638861427456 is a wasteful number, since it uses less digits than its factorization.

12638861427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2008 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 12638861427456 in words is "twelve trillion, six hundred thirty-eight billion, eight hundred sixty-one million, four hundred twenty-seven thousand, four hundred fifty-six".