13985223860256 has 192 divisors, whose sum is σ = 40986905541120. Its totient is φ = 4138688010240.

The previous prime is 13985223860203. The next prime is 13985223860269. The reversal of 13985223860256 is 65206832258931.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13985223860256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307798116 + ... + 307843548.

It is an arithmetic number, because the mean of its divisors is an integer number (213473466360).

Almost surely, 2^{13985223860256} is an apocalyptic number.

13985223860256 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 13985223860256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20493452770560).

13985223860256 is an abundant number, since it is smaller than the sum of its proper divisors (27001681680864).

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

13985223860256 is a wasteful number, since it uses less digits than its factorization.

13985223860256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52279 (or 52271 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 13985223860256 in words is "thirteen trillion, nine hundred eighty-five billion, two hundred twenty-three million, eight hundred sixty thousand, two hundred fifty-six".