220961104224 has 192 divisors, whose sum is σ = 674406835200. Its totient is φ = 62036305920.

The previous prime is 220961104207. The next prime is 220961104229. The reversal of 220961104224 is 422401169022.

It is a happy number.

It is a Cunningham number, because it is equal to 470065²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220961104229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57345882 + ... + 57349734.

It is an arithmetic number, because the mean of its divisors is an integer number (3512535600).

Almost surely, 2^220961104224 is an apocalyptic number.

220961104224 is a gapful number since it is divisible by the number (24) 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 220961104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337203417600).

220961104224 is an abundant number, since it is smaller than the sum of its proper divisors (453445730976).

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

220961104224 is a wasteful number, since it uses less digits than its factorization.

220961104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 220961104224 in words is "two hundred twenty billion, nine hundred sixty-one million, one hundred four thousand, two hundred twenty-four".