220553700444 has 192 divisors, whose sum is σ = 713430574080. Its totient is φ = 57244112640.

The previous prime is 220553700431. The next prime is 220553700463. The reversal of 220553700444 is 444007355022.

220553700444 is a `hidden beast` number, since 2 + 205 + 5 + 3 + 7 + 0 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220553700399 and 220553700408.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12074022 + ... + 12092274.

It is an arithmetic number, because the mean of its divisors is an integer number (3715784240).

Almost surely, 2^220553700444 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 220553700444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356715287040).

220553700444 is an abundant number, since it is smaller than the sum of its proper divisors (492876873636).

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

220553700444 is a wasteful number, since it uses less digits than its factorization.

220553700444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19737 (or 19729 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 220553700444 in words is "two hundred twenty billion, five hundred fifty-three million, seven hundred thousand, four hundred forty-four".