444673343376444 has 576 divisors, whose sum is σ = 1394303009218560. Its totient is φ = 108933162024960.

The previous prime is 444673343376439. The next prime is 444673343376487.

444673343376444 is nontrivially palindromic in base 10.

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

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 191 ways as a sum of consecutive naturals, for example, 27420189424 + ... + 27420205640.

It is an arithmetic number, because the mean of its divisors is an integer number (2420664946560).

Almost surely, 2^{444673343376444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444673343376444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697151504609280).

444673343376444 is an abundant number, since it is smaller than the sum of its proper divisors (949629665842116).

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

444673343376444 is a wasteful number, since it uses less digits than its factorization.

444673343376444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19018 (or 19009 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 66.

The spelling of 444673343376444 in words is "four hundred forty-four trillion, six hundred seventy-three billion, three hundred forty-three million, three hundred seventy-six thousand, four hundred forty-four".