14460868224 has 256 divisors, whose sum is σ = 47130854400. Its totient is φ = 4328340480.

The previous prime is 14460868211. The next prime is 14460868319. The reversal of 14460868224 is 42286806441.

14460868224 is a `hidden beast` number, since 14 + 4 + 608 + 6 + 8 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14460868224.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3153037 + ... + 3157619.

It is an arithmetic number, because the mean of its divisors is an integer number (184104900).

Almost surely, 2^14460868224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14460868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23565427200).

14460868224 is an abundant number, since it is smaller than the sum of its proper divisors (32669986176).

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

14460868224 is a wasteful number, since it uses less digits than its factorization.

14460868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 14460868224 in words is "fourteen billion, four hundred sixty million, eight hundred sixty-eight thousand, two hundred twenty-four".