444546282645444 has 96 divisors (see below), whose sum is σ = 1198957246583040. Its totient is φ = 125567172605952.

The previous prime is 444546282645383. The next prime is 444546282645611.

444546282645444 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45138544 + ... + 54097880.

It is an arithmetic number, because the mean of its divisors is an integer number (12489137985240).

Almost surely, 2^{444546282645444} 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 444546282645444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599478623291520).

444546282645444 is an abundant number, since it is smaller than the sum of its proper divisors (754410963937596).

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

444546282645444 is a wasteful number, since it uses less digits than its factorization.

444546282645444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966077 (or 8966075 counting only the distinct ones).

The product of its digits is 1887436800, while the sum is 66.

The spelling of 444546282645444 in words is "four hundred forty-four trillion, five hundred forty-six billion, two hundred eighty-two million, six hundred forty-five thousand, four hundred forty-four".