413322222223314 has 12 divisors (see below), whose sum is σ = 895531481483886. Its totient is φ = 137774074074432.

The previous prime is 413322222223301. The next prime is 413322222223327.

413322222223314 is a `hidden beast` number, since 4 + 1 + 332 + 2 + 2 + 2 + 2 + 2 + 2 + 3 + 314 = 666.

413322222223314 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (413322222223301) and next prime (413322222223327).

It can be written as a sum of positive squares in only one way, i.e., 410771758925025 + 2550463298289 = 20267505^2 + 1597017^2 .

It is a super-2 number, since 2×413322222223314² (a number of 30 digits) contains 22 as substring.

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, 11481172839519 + ... + 11481172839554.

Almost surely, 2^{413322222223314} is an apocalyptic number.

413322222223314 is an abundant number, since it is smaller than the sum of its proper divisors (482209259260572).

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

413322222223314 is a wasteful number, since it uses less digits than its factorization.

413322222223314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22962345679081 (or 22962345679078 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 413322222223314 in words is "four hundred thirteen trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, three hundred fourteen".