314414144 has 56 divisors (see below), whose sum is σ = 686446176. Its totient is φ = 142876800.

The previous prime is 314414141. The next prime is 314414153. The reversal of 314414144 is 441414413.

It is not an unprimeable number, because it can be changed into a prime (314414141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83339 + ... + 87029.

Almost surely, 2^314414144 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 314414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343223088).

314414144 is an abundant number, since it is smaller than the sum of its proper divisors (372032032).

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

314414144 is an equidigital number, since it uses as much as digits as its factorization.

314414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3704 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 314414144 is about 17731.7270450456. The cubic root of 314414144 is about 679.9871277840.

Adding to 314414144 its reverse (441414413), we get a palindrome (755828557).

The spelling of 314414144 in words is "three hundred fourteen million, four hundred fourteen thousand, one hundred forty-four".