223222354233312 has 768 divisors, whose sum is σ = 731085336576000. Its totient is φ = 58220528910336.

The previous prime is 223222354233289. The next prime is 223222354233341. The reversal of 223222354233312 is 213332453222322.

It is a super-3 number, since 3×223222354233312³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56814035764 + ... + 56814039692.

It is an arithmetic number, because the mean of its divisors is an integer number (951934032000).

Almost surely, 2^{223222354233312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223222354233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365542668288000).

223222354233312 is an abundant number, since it is smaller than the sum of its proper divisors (507862982342688).

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

223222354233312 is a wasteful number, since it uses less digits than its factorization.

223222354233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5495 counting only the distinct ones).

The product of its digits is 622080, while the sum is 39.

The spelling of 223222354233312 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, three hundred fifty-four million, two hundred thirty-three thousand, three hundred twelve".