314214144 has 72 divisors (see below), whose sum is σ = 845848080. Its totient is φ = 103538688.

The previous prime is 314214097. The next prime is 314214149. The reversal of 314214144 is 441412413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314214149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66054 + ... + 70650.

It is an arithmetic number, because the mean of its divisors is an integer number (11747890).

Almost surely, 2^314214144 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 314214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422924040).

314214144 is an abundant number, since it is smaller than the sum of its proper divisors (531633936).

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

314214144 is an equidigital number, since it uses as much as digits as its factorization.

314214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4691 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 314214144 is about 17726.0865393352. The cubic root of 314214144 is about 679.8429164262.

Adding to 314214144 its reverse (441412413), we get a palindrome (755626557).

The spelling of 314214144 in words is "three hundred fourteen million, two hundred fourteen thousand, one hundred forty-four".