314413312112112 has 40 divisors (see below), whose sum is σ = 812259726050304. Its totient is φ = 104801168154304.

The previous prime is 314413312112111. The next prime is 314413312112153. The reversal of 314413312112112 is 211211213314413.

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

It is a self number, because there is not a number n which added to its sum of digits gives 314413312112112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314413312112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100607958 + ... + 103686005.

Almost surely, 2^{314413312112112} is an apocalyptic number.

It is an amenable number.

314413312112112 is an abundant number, since it is smaller than the sum of its proper divisors (497846413938192).

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

314413312112112 is a wasteful number, since it uses less digits than its factorization.

314413312112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204326037 (or 204326031 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

Adding to 314413312112112 its reverse (211211213314413), we get a palindrome (525624525426525).

The spelling of 314413312112112 in words is "three hundred fourteen trillion, four hundred thirteen billion, three hundred twelve million, one hundred twelve thousand, one hundred twelve".