444322343223444 has 96 divisors (see below), whose sum is σ = 1217986071515136. Its totient is φ = 123406195559040.

The previous prime is 444322343223433. The next prime is 444322343223503.

444322343223444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444322343223444² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444322343223393 and 444322343223402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61377342 + ... + 68233589.

It is an arithmetic number, because the mean of its divisors is an integer number (12687354911616).

Almost surely, 2^{444322343223444} is an apocalyptic number.

It is an amenable number.

444322343223444 is an abundant number, since it is smaller than the sum of its proper divisors (773663728291692).

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

444322343223444 is a wasteful number, since it uses less digits than its factorization.

444322343223444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129612085 (or 129612083 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 48.

The spelling of 444322343223444 in words is "four hundred forty-four trillion, three hundred twenty-two billion, three hundred forty-three million, two hundred twenty-three thousand, four hundred forty-four".