444565565444 has 144 divisors (see below), whose sum is σ = 1095981788160. Its totient is φ = 152931841920.

The previous prime is 444565565443. The next prime is 444565565473.

444565565444 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 444565565444.

It is not an unprimeable number, because it can be changed into a prime (444565565443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011527 + ... + 1382865.

It is an arithmetic number, because the mean of its divisors is an integer number (7610984640).

Almost surely, 2^444565565444 is an apocalyptic number.

444565565444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444565565444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547990894080).

444565565444 is an abundant number, since it is smaller than the sum of its proper divisors (651416222716).

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

444565565444 is a wasteful number, since it uses less digits than its factorization.

444565565444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371410 (or 371395 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 56.

The spelling of 444565565444 in words is "four hundred forty-four billion, five hundred sixty-five million, five hundred sixty-five thousand, four hundred forty-four".