8045610516 has 72 divisors (see below), whose sum is σ = 20808411624. Its totient is φ = 2620200960.

The previous prime is 8045610511. The next prime is 8045610527. The reversal of 8045610516 is 6150165408.

8045610516 is a `hidden beast` number, since 80 + 4 + 5 + 61 + 0 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585833616 + 7459776900 = 24204^2 + 86370^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045610511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451080 + ... + 468576.

It is an arithmetic number, because the mean of its divisors is an integer number (289005717).

Almost surely, 2^8045610516 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 8045610516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10404205812).

8045610516 is an abundant number, since it is smaller than the sum of its proper divisors (12762801108).

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

8045610516 is a wasteful number, since it uses less digits than its factorization.

8045610516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17801 (or 17796 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8045610516 is about 89697.3272511506. The cubic root of 8045610516 is about 2003.7936757954.

The spelling of 8045610516 in words is "eight billion, forty-five million, six hundred ten thousand, five hundred sixteen".