314322131231200 has 288 divisors, whose sum is σ = 811319822208000. Its totient is φ = 118581723187200.

The previous prime is 314322131231189. The next prime is 314322131231261. The reversal of 314322131231200 is 2132131223413.

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, 17288486110 + ... + 17288504290.

It is an arithmetic number, because the mean of its divisors is an integer number (2817082716000).

Almost surely, 2^{314322131231200} 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 314322131231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405659911104000).

314322131231200 is an abundant number, since it is smaller than the sum of its proper divisors (496997690976800).

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

314322131231200 is a wasteful number, since it uses less digits than its factorization.

314322131231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23218 (or 23205 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 314322131231200 its reverse (2132131223413), we get a palindrome (316454262454613).

The spelling of 314322131231200 in words is "three hundred fourteen trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred".