314320144000 has 256 divisors, whose sum is σ = 797509440000. Its totient is φ = 123174604800.

The previous prime is 314320143997. The next prime is 314320144007. The reversal of 314320144000 is 441023413.

It is not an unprimeable number, because it can be changed into a prime (314320144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175695106 + ... + 175696894.

It is an arithmetic number, because the mean of its divisors is an integer number (3115271250).

Almost surely, 2^314320144000 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 314320144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398754720000).

314320144000 is an abundant number, since it is smaller than the sum of its proper divisors (483189296000).

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

314320144000 is a wasteful number, since it uses less digits than its factorization.

314320144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 314320144000 its reverse (441023413), we get a palindrome (314761167413).

The spelling of 314320144000 in words is "three hundred fourteen billion, three hundred twenty million, one hundred forty-four thousand".