14508214080200 has 48 divisors (see below), whose sum is σ = 33738499498500. Its totient is φ = 5802098232320.

The previous prime is 14508214080187. The next prime is 14508214080251. The reversal of 14508214080200 is 208041280541.

14508214080200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3039520270084 + 11468693810116 = 1743422^2 + 3386546^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6441005 + ... + 8396604.

Almost surely, 2^{14508214080200} is an apocalyptic number.

14508214080200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14508214080200 is an abundant number, since it is smaller than the sum of its proper divisors (19230285418300).

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

14508214080200 is a wasteful number, since it uses less digits than its factorization.

14508214080200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14842514 (or 14842505 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The spelling of 14508214080200 in words is "fourteen trillion, five hundred eight billion, two hundred fourteen million, eighty thousand, two hundred".