413214222412314 has 12 divisors (see below), whose sum is σ = 895297481893386. Its totient is φ = 137738074137432.

The previous prime is 413214222412307. The next prime is 413214222412331.

413214222412314 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 1 + 4 + 222 + 412 + 3 + 14 = 666.

413214222412314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 228615397921089 + 184598824491225 = 15120033^2 + 13586715^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11478172844769 + ... + 11478172844804.

Almost surely, 2^{413214222412314} is an apocalyptic number.

413214222412314 is an abundant number, since it is smaller than the sum of its proper divisors (482083259481072).

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

413214222412314 is a wasteful number, since it uses less digits than its factorization.

413214222412314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22956345689581 (or 22956345689578 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 413214222412314 in words is "four hundred thirteen trillion, two hundred fourteen billion, two hundred twenty-two million, four hundred twelve thousand, three hundred fourteen".