14256564224 has 96 divisors (see below), whose sum is σ = 32703652800. Its totient is φ = 6086492160.

The previous prime is 14256564199. The next prime is 14256564241. The reversal of 14256564224 is 42246565241.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4026647 + ... + 4030185.

It is an arithmetic number, because the mean of its divisors is an integer number (340663050).

Almost surely, 2^14256564224 is an apocalyptic number.

14256564224 is a gapful number since it is divisible by the number (14) 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 14256564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351826400).

14256564224 is an abundant number, since it is smaller than the sum of its proper divisors (18447088576).

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

14256564224 is an equidigital number, since it uses as much as digits as its factorization.

14256564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3829 counting only the distinct ones).

The product of its digits is 460800, while the sum is 41.

The spelling of 14256564224 in words is "fourteen billion, two hundred fifty-six million, five hundred sixty-four thousand, two hundred twenty-four".