8084844144 has 160 divisors (see below), whose sum is σ = 25798348800. Its totient is φ = 2407345920.

The previous prime is 8084844143. The next prime is 8084844179. The reversal of 8084844144 is 4414484808.

8084844144 is a `hidden beast` number, since 80 + 84 + 84 + 414 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8084844144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8084844143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150877 + ... + 197315.

It is an arithmetic number, because the mean of its divisors is an integer number (161239680).

Almost surely, 2^8084844144 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 8084844144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899174400).

8084844144 is an abundant number, since it is smaller than the sum of its proper divisors (17713504656).

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

8084844144 is a wasteful number, since it uses less digits than its factorization.

8084844144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46500 (or 46488 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The square root of 8084844144 is about 89915.7613769688. The cubic root of 8084844144 is about 2007.0454966773.

The spelling of 8084844144 in words is "eight billion, eighty-four million, eight hundred forty-four thousand, one hundred forty-four".