223313161313322 has 48 divisors (see below), whose sum is σ = 496924246420992. Its totient is φ = 72425574355680.

The previous prime is 223313161313311. The next prime is 223313161313399.

223313161313322 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 1 + 3 + 1 + 613 + 1 + 3 + 32 + 2 = 666.

223313161313322 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189108843 + ... + 190286049.

It is an arithmetic number, because the mean of its divisors is an integer number (10352588467104).

Almost surely, 2^{223313161313322} is an apocalyptic number.

223313161313322 is an abundant number, since it is smaller than the sum of its proper divisors (273611085107670).

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

223313161313322 is a wasteful number, since it uses less digits than its factorization.

223313161313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462083 (or 1462080 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 223313161313322 in words is "two hundred twenty-three trillion, three hundred thirteen billion, one hundred sixty-one million, three hundred thirteen thousand, three hundred twenty-two".