13997264128 has 72 divisors (see below), whose sum is σ = 29448316800. Its totient is φ = 6621732864.

The previous prime is 13997264111. The next prime is 13997264173. The reversal of 13997264128 is 82146279931.

It is a congruent number.

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, 5363688 + ... + 5366296.

It is an arithmetic number, because the mean of its divisors is an integer number (409004400).

Almost surely, 2^13997264128 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 13997264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724158400).

13997264128 is an abundant number, since it is smaller than the sum of its proper divisors (15451052672).

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

13997264128 is a wasteful number, since it uses less digits than its factorization.

13997264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3733 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The spelling of 13997264128 in words is "thirteen billion, nine hundred ninety-seven million, two hundred sixty-four thousand, one hundred twenty-eight".