314330144320 has 112 divisors (see below), whose sum is σ = 764833347648. Its totient is φ = 123001948160.

The previous prime is 314330144281. The next prime is 314330144327. The reversal of 314330144320 is 23441033413.

It is not an unprimeable number, because it can be changed into a prime (314330144327) 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 15 ways as a sum of consecutive naturals, for example, 5858415 + ... + 5911825.

Almost surely, 2^314330144320 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 314330144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382416673824).

314330144320 is an abundant number, since it is smaller than the sum of its proper divisors (450503203328).

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

314330144320 is a wasteful number, since it uses less digits than its factorization.

314330144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53828 (or 53818 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 314330144320 its reverse (23441033413), we get a palindrome (337771177733).

The spelling of 314330144320 in words is "three hundred fourteen billion, three hundred thirty million, one hundred forty-four thousand, three hundred twenty".