314345113200 has 120 divisors (see below), whose sum is σ = 1118835793200. Its totient is φ = 83825360640.

The previous prime is 314345113133. The next prime is 314345113207. The reversal of 314345113200 is 2311543413.

It is a happy number.

314345113200 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 451 + 1 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314345113207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14542215 + ... + 14563814.

It is an arithmetic number, because the mean of its divisors is an integer number (9323631610).

Almost surely, 2^314345113200 is an apocalyptic number.

314345113200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314345113200 is an abundant number, since it is smaller than the sum of its proper divisors (804490680000).

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

314345113200 is a wasteful number, since it uses less digits than its factorization.

314345113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29106056 (or 29106039 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 314345113200 its reverse (2311543413), we get a palindrome (316656656613).

The spelling of 314345113200 in words is "three hundred fourteen billion, three hundred forty-five million, one hundred thirteen thousand, two hundred".