222129345636 has 243 divisors, whose sum is σ = 637613889003. Its totient is φ = 65153341440.

The previous prime is 222129345577. The next prime is 222129345689. The reversal of 222129345636 is 636543921222.

The square root of 222129345636 is 471306.

It is a perfect power (a square), and thus also a powerful number.

222129345636 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 2 + 9 + 3 + 4 + 5 + 636 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7463923236 + 214665422400 = 86394^2 + 463320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222129345591 and 222129345600.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1150929156 + ... + 1150929348.

Almost surely, 2^222129345636 is an apocalyptic number.

222129345636 is the 471306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222129345636

222129345636 is an abundant number, since it is smaller than the sum of its proper divisors (415484543367).

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

222129345636 is a wasteful number, since it uses less digits than its factorization.

222129345636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

It can be divided in two parts, 222129 and 345636, that added together give a palindrome (567765).

The spelling of 222129345636 in words is "two hundred twenty-two billion, one hundred twenty-nine million, three hundred forty-five thousand, six hundred thirty-six".