444353353444 has 144 divisors (see below), whose sum is σ = 1069236786688. Its totient is φ = 157186656000.

The previous prime is 444353353427. The next prime is 444353353513.

444353353444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444353353444² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444353353394 and 444353353403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2603989 + ... + 2769379.

Almost surely, 2^444353353444 is an apocalyptic number.

444353353444 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 444353353444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534618393344).

444353353444 is an abundant number, since it is smaller than the sum of its proper divisors (624883433244).

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

444353353444 is a wasteful number, since it uses less digits than its factorization.

444353353444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165498 (or 165485 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 46.

It can be divided in two parts, 444353 and 353444, that added together give a palindrome (797797).

The spelling of 444353353444 in words is "four hundred forty-four billion, three hundred fifty-three million, three hundred fifty-three thousand, four hundred forty-four".