314444202200 has 48 divisors (see below), whose sum is σ = 736839386880. Its totient is φ = 124787295360.

The previous prime is 314444202199. The next prime is 314444202217. The reversal of 314444202200 is 2202444413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314444202200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6164447 + ... + 6215246.

It is an arithmetic number, because the mean of its divisors is an integer number (15350820560).

Almost surely, 2^314444202200 is an apocalyptic number.

It is an amenable number.

314444202200 is an abundant number, since it is smaller than the sum of its proper divisors (422395184680).

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

314444202200 is a wasteful number, since it uses less digits than its factorization.

314444202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12379836 (or 12379827 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 314444202200 its reverse (2202444413), we get a palindrome (316646646613).

The spelling of 314444202200 in words is "three hundred fourteen billion, four hundred forty-four million, two hundred two thousand, two hundred".