8095046544 has 120 divisors (see below), whose sum is σ = 25239035640. Its totient is φ = 2404878336.

The previous prime is 8095046527. The next prime is 8095046549. The reversal of 8095046544 is 4456405908.

8095046544 is a `hidden beast` number, since 80 + 9 + 504 + 65 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 681836544 + 7413210000 = 26112^2 + 86100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8095046544.

It is not an unprimeable number, because it can be changed into a prime (8095046549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20269 + ... + 128844.

It is an arithmetic number, because the mean of its divisors is an integer number (210325297).

Almost surely, 2^8095046544 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 8095046544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619517820).

8095046544 is an abundant number, since it is smaller than the sum of its proper divisors (17143989096).

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

8095046544 is a wasteful number, since it uses less digits than its factorization.

8095046544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149169 (or 149160 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8095046544 is about 89972.4765914555. The cubic root of 8095046544 is about 2007.8893832283.

The spelling of 8095046544 in words is "eight billion, ninety-five million, forty-six thousand, five hundred forty-four".