314530214144 has 72 divisors (see below), whose sum is σ = 633005378880. Its totient is φ = 155971565568.

The previous prime is 314530214129. The next prime is 314530214213. The reversal of 314530214144 is 441412035413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 314530214144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38889269 + ... + 38897355.

Almost surely, 2^314530214144 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 314530214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316502689440).

314530214144 is an abundant number, since it is smaller than the sum of its proper divisors (318475164736).

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

314530214144 is a wasteful number, since it uses less digits than its factorization.

314530214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9335 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 314530214144 its reverse (441412035413), we get a palindrome (755942249557).

The spelling of 314530214144 in words is "three hundred fourteen billion, five hundred thirty million, two hundred fourteen thousand, one hundred forty-four".