222306384090168 has 768 divisors, whose sum is σ = 729127526400000. Its totient is φ = 61099985802240.

The previous prime is 222306384090157. The next prime is 222306384090227. The reversal of 222306384090168 is 861090483603222.

222306384090168 is a `hidden beast` number, since 2 + 22 + 306 + 38 + 40 + 90 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107446293838 + ... + 107446295906.

It is an arithmetic number, because the mean of its divisors is an integer number (949384800000).

Almost surely, 2^{222306384090168} is an apocalyptic number.

222306384090168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222306384090168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364563763200000).

222306384090168 is an abundant number, since it is smaller than the sum of its proper divisors (506821142309832).

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

222306384090168 is a wasteful number, since it uses less digits than its factorization.

222306384090168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 222306384090168 in words is "two hundred twenty-two trillion, three hundred six billion, three hundred eighty-four million, ninety thousand, one hundred sixty-eight".