314104243202200 has 192 divisors, whose sum is σ = 842958410601600. Its totient is φ = 107647493529600.

The previous prime is 314104243202159. The next prime is 314104243202261. The reversal of 314104243202200 is 2202342401413.

It is a super-2 number, since 2×314104243202200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11400102 + ... + 27534901.

It is an arithmetic number, because the mean of its divisors is an integer number (4390408388550).

Almost surely, 2^{314104243202200} is an apocalyptic number.

It is an amenable number.

314104243202200 is an abundant number, since it is smaller than the sum of its proper divisors (528854167399400).

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

314104243202200 is a wasteful number, since it uses less digits than its factorization.

314104243202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38935242 (or 38935233 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 314104243202200 its reverse (2202342401413), we get a palindrome (316306585603613).

The spelling of 314104243202200 in words is "three hundred fourteen trillion, one hundred four billion, two hundred forty-three million, two hundred two thousand, two hundred".