314320115200 has 480 divisors, whose sum is σ = 962197790400. Its totient is φ = 99090432000.

The previous prime is 314320115177. The next prime is 314320115243. The reversal of 314320115200 is 2511023413.

It is a happy number.

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, 522994900 + ... + 522995500.

It is an arithmetic number, because the mean of its divisors is an integer number (2004578730).

Almost surely, 2^314320115200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314320115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481098895200).

314320115200 is an abundant number, since it is smaller than the sum of its proper divisors (647877675200).

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

314320115200 is a wasteful number, since it uses less digits than its factorization.

314320115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 314320115200 its reverse (2511023413), we get a palindrome (316831138613).

It can be divided in two parts, 3143 and 20115200, that multiplied together give a square (63222073600 = 251440²).

The spelling of 314320115200 in words is "three hundred fourteen billion, three hundred twenty million, one hundred fifteen thousand, two hundred".