322213343312223 has 72 divisors (see below), whose sum is σ = 512000984935440. Its totient is φ = 195118857331200.

The previous prime is 322213343312191. The next prime is 322213343312251.

322213343312223 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 1 + 334 + 3 + 312 + 2 + 2 + 3 = 666.

322213343312223 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 322213343312223 - 2⁵ = 322213343312191 is a prime.

It is a super-2 number, since 2×322213343312223² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322213353312223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8703980608 + ... + 8704017626.

It is an arithmetic number, because the mean of its divisors is an integer number (7111124790770).

Almost surely, 2^{322213343312223} is an apocalyptic number.

322213343312223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

322213343312223 is a deficient number, since it is larger than the sum of its proper divisors (189787641623217).

322213343312223 is a wasteful number, since it uses less digits than its factorization.

322213343312223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43461 (or 43447 counting only the distinct ones).

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

The spelling of 322213343312223 in words is "three hundred twenty-two trillion, two hundred thirteen billion, three hundred forty-three million, three hundred twelve thousand, two hundred twenty-three".