214014350325200 has 30 divisors (see below), whose sum is σ = 514169476657254. Its totient is φ = 85605740129920.

The previous prime is 214014350325137. The next prime is 214014350325227. The reversal of 214014350325200 is 2523053410412.

It can be written as a sum of positive squares in 3 ways, for example, as 823280393104 + 213191069932096 = 907348^2 + 14601064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267517937507 + ... + 267517938306.

Almost surely, 2^{214014350325200} is an apocalyptic number.

214014350325200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214014350325200 is an abundant number, since it is smaller than the sum of its proper divisors (300155126332054).

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

214014350325200 is a wasteful number, since it uses less digits than its factorization.

214014350325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535035875831 (or 535035875820 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 214014350325200 in words is "two hundred fourteen trillion, fourteen billion, three hundred fifty million, three hundred twenty-five thousand, two hundred".