13914464256 has 896 divisors, whose sum is σ = 55361433600. Its totient is φ = 3344302080.

The previous prime is 13914464203. The next prime is 13914464281. The reversal of 13914464256 is 65246441931.

13914464256 is a `hidden beast` number, since 1 + 391 + 4 + 4 + 6 + 4 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×13914464256² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323592171 + ... + 323592213.

Almost surely, 2^13914464256 is an apocalyptic number.

13914464256 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 13914464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27680716800).

13914464256 is an abundant number, since it is smaller than the sum of its proper divisors (41446969344).

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

13914464256 is a wasteful number, since it uses less digits than its factorization.

13914464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 13914464256 in words is "thirteen billion, nine hundred fourteen million, four hundred sixty-four thousand, two hundred fifty-six".