12801003656256 has 168 divisors, whose sum is σ = 38053804166560. Its totient is φ = 4266655368192.

The previous prime is 12801003656251. The next prime is 12801003656299. The reversal of 12801003656256 is 65265630010821.

12801003656256 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 1 + 0 + 0 + 36 + 562 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (12801003656251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254078940 + ... + 254129316.

Almost surely, 2^{12801003656256} is an apocalyptic number.

12801003656256 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 12801003656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026902083280).

12801003656256 is an abundant number, since it is smaller than the sum of its proper divisors (25252800510304).

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

12801003656256 is an equidigital number, since it uses as much as digits as its factorization.

12801003656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66743 (or 66721 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12801003656256 in words is "twelve trillion, eight hundred one billion, three million, six hundred fifty-six thousand, two hundred fifty-six".