444423545324444 has 24 divisors (see below), whose sum is σ = 891686857729248. Its totient is φ = 189858712193280.

The previous prime is 444423545324443. The next prime is 444423545324459.

444423545324444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×444423545324444³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444423545324444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444423545324443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25355054297 + ... + 25355071824.

It is an arithmetic number, because the mean of its divisors is an integer number (37153619072052).

Almost surely, 2^{444423545324444} is an apocalyptic number.

It is an amenable number.

444423545324444 is an abundant number, since it is smaller than the sum of its proper divisors (447263312404804).

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

444423545324444 is a wasteful number, since it uses less digits than its factorization.

444423545324444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50710126445 (or 50710126443 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 56.

The spelling of 444423545324444 in words is "four hundred forty-four trillion, four hundred twenty-three billion, five hundred forty-five million, three hundred twenty-four thousand, four hundred forty-four".