221544445122 has 192 divisors, whose sum is σ = 661913650944. Its totient is φ = 51681784320.

The previous prime is 221544445099. The next prime is 221544445123.

221544445122 is a `hidden beast` number, since 2 + 2 + 1 + 544 + 44 + 51 + 22 = 666.

221544445122 is nontrivially palindromic in base 10.

221544445122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221544445123) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 500508 + ... + 832824.

It is an arithmetic number, because the mean of its divisors is an integer number (3447466932).

Almost surely, 2^221544445122 is an apocalyptic number.

221544445122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221544445122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330956825472).

221544445122 is an abundant number, since it is smaller than the sum of its proper divisors (440369205822).

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

221544445122 is a wasteful number, since it uses less digits than its factorization.

221544445122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332393 (or 332390 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 221544 and 445122, that added together give a palindrome (666666).

The spelling of 221544445122 in words is "two hundred twenty-one billion, five hundred forty-four million, four hundred forty-five thousand, one hundred twenty-two".