8444723166864 has 120 divisors (see below), whose sum is σ = 24010417109952. Its totient is φ = 2770347705600.

The previous prime is 8444723166857. The next prime is 8444723166871. The reversal of 8444723166864 is 4686613274448.

8444723166864 is a `hidden beast` number, since 8 + 4 + 447 + 23 + 166 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8444723166857) and next prime (8444723166871).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690427 + ... + 4167269.

Almost surely, 2^{8444723166864} 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 8444723166864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12005208554976).

8444723166864 is an abundant number, since it is smaller than the sum of its proper divisors (15565693943088).

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

8444723166864 is a wasteful number, since it uses less digits than its factorization.

8444723166864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477125 (or 3477116 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 8444723166864 in words is "eight trillion, four hundred forty-four billion, seven hundred twenty-three million, one hundred sixty-six thousand, eight hundred sixty-four".