314114112 has 280 divisors, whose sum is σ = 1032662400. Its totient is φ = 93809664.

The previous prime is 314114107. The next prime is 314114131. The reversal of 314114112 is 211411413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3976089 + ... + 3976167.

It is an arithmetic number, because the mean of its divisors is an integer number (3688080).

Almost surely, 2^314114112 is an apocalyptic number.

314114112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516331200).

314114112 is an abundant number, since it is smaller than the sum of its proper divisors (718548288).

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

314114112 is a wasteful number, since it uses less digits than its factorization.

314114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 314114112 is about 17723.2647105436. The cubic root of 314114112 is about 679.7707647149.

Adding to 314114112 its reverse (211411413), we get a palindrome (525525525).

It can be divided in two parts, 31411411 and 2, that added together give a palindrome (31411413).

The spelling of 314114112 in words is "three hundred fourteen million, one hundred fourteen thousand, one hundred twelve".