14402355968 has 576 divisors, whose sum is σ = 41756467200. Its totient is φ = 4877107200.

The previous prime is 14402355949. The next prime is 14402355977. The reversal of 14402355968 is 86955320441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389252846 + ... + 389252882.

Almost surely, 2^14402355968 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 14402355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20878233600).

14402355968 is an abundant number, since it is smaller than the sum of its proper divisors (27354111232).

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

14402355968 is a wasteful number, since it uses less digits than its factorization.

14402355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

It can be divided in two parts, 144023 and 55968, that added together give a palindrome (199991).

The spelling of 14402355968 in words is "fourteen billion, four hundred two million, three hundred fifty-five thousand, nine hundred sixty-eight".