314115442144 has 48 divisors (see below), whose sum is σ = 708487970400. Its totient is φ = 134291718144.

The previous prime is 314115442141. The next prime is 314115442153. The reversal of 314115442144 is 441244511413.

It is a super-2 number, since 2×314115442144² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314115442141) 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 7 ways as a sum of consecutive naturals, for example, 1622689 + ... + 1805920.

It is an arithmetic number, because the mean of its divisors is an integer number (14760166050).

Almost surely, 2^314115442144 is an apocalyptic number.

It is an amenable number.

314115442144 is an abundant number, since it is smaller than the sum of its proper divisors (394372528256).

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

314115442144 is a wasteful number, since it uses less digits than its factorization.

314115442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429035 (or 3429027 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

Adding to 314115442144 its reverse (441244511413), we get a palindrome (755359953557).

The spelling of 314115442144 in words is "three hundred fourteen billion, one hundred fifteen million, four hundred forty-two thousand, one hundred forty-four".