444288162249984 has 576 divisors, whose sum is σ = 1323919601706240. Its totient is φ = 131330742681600.

The previous prime is 444288162249977. The next prime is 444288162250033. The reversal of 444288162249984 is 489942261882444.

It is a super-2 number, since 2×444288162249984² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54843615534 + ... + 54843623634.

It is an arithmetic number, because the mean of its divisors is an integer number (2298471530740).

Almost surely, 2^{444288162249984} 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 444288162249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661959800853120).

444288162249984 is an abundant number, since it is smaller than the sum of its proper divisors (879631439456256).

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

444288162249984 is a wasteful number, since it uses less digits than its factorization.

444288162249984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9086 (or 9072 counting only the distinct ones).

The product of its digits is 2038431744, while the sum is 75.

The spelling of 444288162249984 in words is "four hundred forty-four trillion, two hundred eighty-eight billion, one hundred sixty-two million, two hundred forty-nine thousand, nine hundred eighty-four".