444332223104 has 128 divisors (see below), whose sum is σ = 1110929817600. Its totient is φ = 171969408000.

The previous prime is 444332223091. The next prime is 444332223109. The reversal of 444332223104 is 401322233444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×444332223104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (444332223109) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1338977 + ... + 1637535.

It is an arithmetic number, because the mean of its divisors is an integer number (8679139200).

Almost surely, 2^444332223104 is an apocalyptic number.

444332223104 is a gapful number since it is divisible by the number (44) 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 444332223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555464908800).

444332223104 is an abundant number, since it is smaller than the sum of its proper divisors (666597594496).

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

444332223104 is a wasteful number, since it uses less digits than its factorization.

444332223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298742 (or 298730 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 444332223104 its reverse (401322233444), we get a palindrome (845654456548).

The spelling of 444332223104 in words is "four hundred forty-four billion, three hundred thirty-two million, two hundred twenty-three thousand, one hundred four".