223214242412322 has 384 divisors, whose sum is σ = 597970764937728. Its totient is φ = 58731319296000.

The previous prime is 223214242412311. The next prime is 223214242412323.

It is a happy number.

223214242412322 is a `hidden beast` number, since 2 + 2 + 3 + 214 + 2 + 4 + 2 + 412 + 3 + 22 = 666.

223214242412322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×223214242412322³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223214242412323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50149232197 + ... + 50149236647.

It is an arithmetic number, because the mean of its divisors is an integer number (1557215533692).

Almost surely, 2^{223214242412322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223214242412322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298985382468864).

223214242412322 is an abundant number, since it is smaller than the sum of its proper divisors (374756522525406).

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

223214242412322 is a wasteful number, since it uses less digits than its factorization.

223214242412322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7031 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 223214242412322 in words is "two hundred twenty-three trillion, two hundred fourteen billion, two hundred forty-two million, four hundred twelve thousand, three hundred twenty-two".