444308810085 has 128 divisors (see below), whose sum is σ = 965814374400. Its totient is φ = 189267528960.

The previous prime is 444308810051. The next prime is 444308810111. The reversal of 444308810085 is 580018803444.

It is not a de Polignac number, because 444308810085 - 2¹¹ = 444308808037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 444308810085.

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 127 ways as a sum of consecutive naturals, for example, 892422 + ... + 1298088.

It is an arithmetic number, because the mean of its divisors is an integer number (7545424800).

Almost surely, 2^444308810085 is an apocalyptic number.

444308810085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444308810085 is an abundant number, since it is smaller than the sum of its proper divisors (521505564315).

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

444308810085 is a wasteful number, since it uses less digits than its factorization.

444308810085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405768 (or 405762 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 444308810085 in words is "four hundred forty-four billion, three hundred eight million, eight hundred ten thousand, eighty-five".