314014231120 has 80 divisors (see below), whose sum is σ = 773134422480. Its totient is φ = 118201024512.

The previous prime is 314014231099. The next prime is 314014231129. The reversal of 314014231120 is 21132410413.

It can be written as a sum of positive squares in 8 ways, for example, as 29383445056 + 284630786064 = 171416^2 + 533508^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 314014231091 and 314014231100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314014231129) 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, 15887164 + ... + 15906916.

It is an arithmetic number, because the mean of its divisors is an integer number (9664180281).

Almost surely, 2^314014231120 is an apocalyptic number.

It is an amenable number.

314014231120 is an abundant number, since it is smaller than the sum of its proper divisors (459120191360).

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

314014231120 is a wasteful number, since it uses less digits than its factorization.

314014231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31472 (or 31466 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 314014231120 its reverse (21132410413), we get a palindrome (335146641533).

The spelling of 314014231120 in words is "three hundred fourteen billion, fourteen million, two hundred thirty-one thousand, one hundred twenty".