444191967456 has 96 divisors (see below), whose sum is σ = 1189912096800. Its totient is φ = 145055268864.

The previous prime is 444191967311. The next prime is 444191967473. The reversal of 444191967456 is 654769191444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×444191967456² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444191967456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831496 + ... + 1256888.

It is an arithmetic number, because the mean of its divisors is an integer number (12394917675).

Almost surely, 2^444191967456 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 444191967456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594956048400).

444191967456 is an abundant number, since it is smaller than the sum of its proper divisors (745720129344).

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

444191967456 is a wasteful number, since it uses less digits than its factorization.

444191967456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425628 (or 425620 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 444191967456 in words is "four hundred forty-four billion, one hundred ninety-one million, nine hundred sixty-seven thousand, four hundred fifty-six".