13974576200 has 108 divisors (see below), whose sum is σ = 35237243835. Its totient is φ = 5151818880.

The previous prime is 13974576169. The next prime is 13974576221. The reversal of 13974576200 is 267547931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 874858084 + 13099718116 = 29578^2 + 114454^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=83590.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21733079 + ... + 21733721.

Almost surely, 2^13974576200 is an apocalyptic number.

13974576200 is a gapful number since it is divisible by the number (10) 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 13974576200

13974576200 is an abundant number, since it is smaller than the sum of its proper divisors (21262667635).

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

13974576200 is an equidigital number, since it uses as much as digits as its factorization.

13974576200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 13974576200 in words is "thirteen billion, nine hundred seventy-four million, five hundred seventy-six thousand, two hundred".