222133188816 has 1440 divisors, whose sum is σ = 884909076480. Its totient is φ = 51209625600.

The previous prime is 222133188793. The next prime is 222133188841. The reversal of 222133188816 is 618881331222.

222133188816 is a `hidden beast` number, since 2 + 221 + 331 + 8 + 88 + 16 = 666.

222133188816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1965780376 + ... + 1965780488.

It is an arithmetic number, because the mean of its divisors is an integer number (614520192).

Almost surely, 2^222133188816 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 222133188816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442454538240).

222133188816 is an abundant number, since it is smaller than the sum of its proper divisors (662775887664).

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

222133188816 is a wasteful number, since it uses less digits than its factorization.

222133188816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 222133188816 in words is "two hundred twenty-two billion, one hundred thirty-three million, one hundred eighty-eight thousand, eight hundred sixteen".