12638054854656 has 2184 divisors, whose sum is σ = 50295906312960. Its totient is φ = 3098018119680.

The previous prime is 12638054854643. The next prime is 12638054854679. The reversal of 12638054854656 is 65645845083621.

12638054854656 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 80 + 5 + 4 + 8 + 546 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12638054854593 and 12638054854602.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 48053440381 + ... + 48053440643.

Almost surely, 2^{12638054854656} is an apocalyptic number.

12638054854656 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 12638054854656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25147953156480).

12638054854656 is an abundant number, since it is smaller than the sum of its proper divisors (37657851458304).

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

12638054854656 is an equidigital number, since it uses as much as digits as its factorization.

12638054854656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 12638054854656 in words is "twelve trillion, six hundred thirty-eight billion, fifty-four million, eight hundred fifty-four thousand, six hundred fifty-six".