444332223121 has 8 divisors (see below), whose sum is σ = 449344060200. Its totient is φ = 439320816000.

The previous prime is 444332223109. The next prime is 444332223197. The reversal of 444332223121 is 121322233444.

It can be written as a sum of positive squares in 4 ways, for example, as 91542553600 + 352789669521 = 302560^2 + 593961^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444332223121 - 2²¹ = 444330125969 is a prime.

It is a super-2 number, since 2×444332223121² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444332223721) 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 7 ways as a sum of consecutive naturals, for example, 2264395 + ... + 2452783.

It is an arithmetic number, because the mean of its divisors is an integer number (56168007525).

Almost surely, 2^444332223121 is an apocalyptic number.

It is an amenable number.

444332223121 is a deficient number, since it is larger than the sum of its proper divisors (5011837079).

444332223121 is a wasteful number, since it uses less digits than its factorization.

444332223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214979.

The product of its digits is 27648, while the sum is 31.

Adding to 444332223121 its reverse (121322233444), we get a palindrome (565654456565).

The spelling of 444332223121 in words is "four hundred forty-four billion, three hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty-one".