220111205604444 has 432 divisors, whose sum is σ = 740633886720000. Its totient is φ = 53766465223680.

The previous prime is 220111205604403. The next prime is 220111205604457. The reversal of 220111205604444 is 444406502111022.

220111205604444 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 1 + 1 + 2 + 0 + 5 + 604 + 4 + 44 = 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 = 220111205604399 and 220111205604408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 662821557 + ... + 663153555.

Almost surely, 2^{220111205604444} 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 220111205604444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370316943360000).

220111205604444 is an abundant number, since it is smaller than the sum of its proper divisors (520522681115556).

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

220111205604444 is a wasteful number, since it uses less digits than its factorization.

220111205604444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333334 (or 333318 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 220111205604444 its reverse (444406502111022), we get a palindrome (664517707715466).

The spelling of 220111205604444 in words is "two hundred twenty trillion, one hundred eleven billion, two hundred five million, six hundred four thousand, four hundred forty-four".