220116363611022 has 96 divisors (see below), whose sum is σ = 497302703599104. Its totient is φ = 70297603358400.

The previous prime is 220116363610987. The next prime is 220116363611047.

220116363611022 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 1 + 6 + 3 + 636 + 1 + 10 + 2 + 2 = 666.

220116363611022 is nontrivially palindromic in base 10.

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 47 ways as a sum of consecutive naturals, for example, 120060447 + ... + 121880037.

It is an arithmetic number, because the mean of its divisors is an integer number (5180236495824).

Almost surely, 2^{220116363611022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220116363611022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248651351799552).

220116363611022 is an abundant number, since it is smaller than the sum of its proper divisors (277186339988082).

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

220116363611022 is a wasteful number, since it uses less digits than its factorization.

220116363611022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822414 (or 1822411 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 220116363611022 in words is "two hundred twenty trillion, one hundred sixteen billion, three hundred sixty-three million, six hundred eleven thousand, twenty-two".