14083264128 has 128 divisors (see below), whose sum is σ = 38386353600. Its totient is φ = 4573184000.

The previous prime is 14083264103. The next prime is 14083264177. The reversal of 14083264128 is 82146238041.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2557378 + ... + 2562878.

Almost surely, 2^14083264128 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 14083264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19193176800).

14083264128 is an abundant number, since it is smaller than the sum of its proper divisors (24303089472).

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

14083264128 is a wasteful number, since it uses less digits than its factorization.

14083264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 14083264128 in words is "fourteen billion, eighty-three million, two hundred sixty-four thousand, one hundred twenty-eight".