222305785632 has 462 divisors, whose sum is σ = 765907648443. Its totient is φ = 63515938752.

The previous prime is 222305785621. The next prime is 222305785703. The reversal of 222305785632 is 236587503222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

222305785632 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 0 + 5 + 7 + 8 + 5 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111152892816 + 111152892816 = 333396^2 + 333396^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333396.

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 76 ways as a sum of consecutive naturals, for example, 31757969373 + ... + 31757969379.

Almost surely, 2^222305785632 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 222305785632

222305785632 is an abundant number, since it is smaller than the sum of its proper divisors (543601862811).

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

222305785632 is an frugal number, since it uses more digits than its factorization.

222305785632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 222305785632 in words is "two hundred twenty-two billion, three hundred five million, seven hundred eighty-five thousand, six hundred thirty-two".