214200313445200 has 30 divisors (see below), whose sum is σ = 514616253053054. Its totient is φ = 85680125377920.

The previous prime is 214200313445189. The next prime is 214200313445231. The reversal of 214200313445200 is 2544313002412.

214200313445200 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 3 ways, for example, as 58757069379856 + 155443244065344 = 7665316^2 + 12467688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267750391407 + ... + 267750392206.

Almost surely, 2^{214200313445200} is an apocalyptic number.

214200313445200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214200313445200 is an abundant number, since it is smaller than the sum of its proper divisors (300415939607854).

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

214200313445200 is a wasteful number, since it uses less digits than its factorization.

214200313445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535500783631 (or 535500783620 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 214200313445200 its reverse (2544313002412), we get a palindrome (216744626447612).

The spelling of 214200313445200 in words is "two hundred fourteen trillion, two hundred billion, three hundred thirteen million, four hundred forty-five thousand, two hundred".