313352874414 has 96 divisors (see below), whose sum is σ = 715911356160. Its totient is φ = 98862166656.

The previous prime is 313352874413. The next prime is 313352874433. The reversal of 313352874414 is 414478253313.

It is a happy number.

313352874414 is a `hidden beast` number, since 3 + 13 + 3 + 528 + 74 + 41 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 313352874414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313352874413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17657754 + ... + 17675490.

It is an arithmetic number, because the mean of its divisors is an integer number (7457409960).

Almost surely, 2^313352874414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313352874414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357955678080).

313352874414 is an abundant number, since it is smaller than the sum of its proper divisors (402558481746).

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

313352874414 is a wasteful number, since it uses less digits than its factorization.

313352874414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18214 (or 18211 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 313352874414 in words is "three hundred thirteen billion, three hundred fifty-two million, eight hundred seventy-four thousand, four hundred fourteen".