444445555456 has 144 divisors (see below), whose sum is σ = 1021375353600. Its totient is φ = 189074755584.

The previous prime is 444445555429. The next prime is 444445555457. The reversal of 444445555456 is 654555544444.

It is a junction number, because it is equal to n+sod(n) for n = 444445555397 and 444445555406.

It is not an unprimeable number, because it can be changed into a prime (444445555457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275538906 + ... + 275540518.

It is an arithmetic number, because the mean of its divisors is an integer number (7092884400).

Almost surely, 2^444445555456 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 444445555456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510687676800).

444445555456 is an abundant number, since it is smaller than the sum of its proper divisors (576929798144).

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

444445555456 is a wasteful number, since it uses less digits than its factorization.

444445555456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2660 counting only the distinct ones).

The product of its digits is 76800000, while the sum is 55.

The spelling of 444445555456 in words is "four hundred forty-four billion, four hundred forty-five million, five hundred fifty-five thousand, four hundred fifty-six".