223313242313322 has 144 divisors (see below), whose sum is σ = 558622580405760. Its totient is φ = 63157660329600.

The previous prime is 223313242313303. The next prime is 223313242313419.

223313242313322 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 1 + 324 + 2 + 3 + 1 + 3 + 322 = 666.

223313242313322 is nontrivially palindromic in base 10.

223313242313322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6456175204 + ... + 6456209792.

It is an arithmetic number, because the mean of its divisors is an integer number (3879323475040).

Almost surely, 2^{223313242313322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223313242313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279311290202880).

223313242313322 is an abundant number, since it is smaller than the sum of its proper divisors (335309338092438).

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

223313242313322 is a wasteful number, since it uses less digits than its factorization.

223313242313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39829 (or 39725 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 223313242313322 in words is "two hundred twenty-three trillion, three hundred thirteen billion, two hundred forty-two million, three hundred thirteen thousand, three hundred twenty-two".