8182854144 has 160 divisors (see below), whose sum is σ = 24355256640. Its totient is φ = 2712600576.

The previous prime is 8182854143. The next prime is 8182854149. The reversal of 8182854144 is 4414582818.

8182854144 is a `hidden beast` number, since 81 + 8 + 28 + 541 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8182854144.

It is not an unprimeable number, because it can be changed into a prime (8182854143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2666499 + ... + 2669565.

It is an arithmetic number, because the mean of its divisors is an integer number (152220354).

Almost surely, 2^8182854144 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 8182854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177628320).

8182854144 is an abundant number, since it is smaller than the sum of its proper divisors (16172402496).

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

8182854144 is a wasteful number, since it uses less digits than its factorization.

8182854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3265 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 8182854144 is about 90459.1296884952. The cubic root of 8182854144 is about 2015.1232014846.

The spelling of 8182854144 in words is "eight billion, one hundred eighty-two million, eight hundred fifty-four thousand, one hundred forty-four".