444612855456 has 1152 divisors, whose sum is σ = 1693749657600. Its totient is φ = 109531699200.

The previous prime is 444612855439. The next prime is 444612855469. The reversal of 444612855456 is 654558216444.

It is a happy number.

444612855456 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 12 + 85 + 545 + 6 = 666.

444612855456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2256917950 + ... + 2256918146.

It is an arithmetic number, because the mean of its divisors is an integer number (1470268800).

Almost surely, 2^444612855456 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 444612855456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846874828800).

444612855456 is an abundant number, since it is smaller than the sum of its proper divisors (1249136802144).

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

444612855456 is a wasteful number, since it uses less digits than its factorization.

444612855456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 54.

The spelling of 444612855456 in words is "four hundred forty-four billion, six hundred twelve million, eight hundred fifty-five thousand, four hundred fifty-six".