12663925376256 has 1296 divisors, whose sum is σ = 48672625397760. Its totient is φ = 3075533660160.

The previous prime is 12663925376227. The next prime is 12663925376261. The reversal of 12663925376256 is 65267352936621.

12663925376256 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 3 + 9 + 2 + 5 + 376 + 256 = 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 = 12663925376193 and 12663925376202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5059497501 + ... + 5059500003.

Almost surely, 2^{12663925376256} is an apocalyptic number.

12663925376256 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 12663925376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24336312698880).

12663925376256 is an abundant number, since it is smaller than the sum of its proper divisors (36008700021504).

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

12663925376256 is a wasteful number, since it uses less digits than its factorization.

12663925376256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2624 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 12663925376256 in words is "twelve trillion, six hundred sixty-three billion, nine hundred twenty-five million, three hundred seventy-six thousand, two hundred fifty-six".