13984688256 has 768 divisors, whose sum is σ = 51398860800. Its totient is φ = 3284582400.

The previous prime is 13984688231. The next prime is 13984688303. The reversal of 13984688256 is 65288648931.

It is a self number, because there is not a number n which added to its sum of digits gives 13984688256.

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, 191571036 + ... + 191571108.

It is an arithmetic number, because the mean of its divisors is an integer number (66925600).

Almost surely, 2^13984688256 is an apocalyptic number.

13984688256 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 13984688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25699430400).

13984688256 is an abundant number, since it is smaller than the sum of its proper divisors (37414172544).

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

13984688256 is a wasteful number, since it uses less digits than its factorization.

13984688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 13984688256 in words is "thirteen billion, nine hundred eighty-four million, six hundred eighty-eight thousand, two hundred fifty-six".