8299782144 has 84 divisors (see below), whose sum is σ = 23975897946. Its totient is φ = 2766569472.

The previous prime is 8299782091. The next prime is 8299782163. The reversal of 8299782144 is 4412879928.

It can be written as a sum of positive squares in only one way, i.e., 6658560000 + 1641222144 = 81600^2 + 40512^2 .

It is a super-2 number, since 2×8299782144² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 17442 + ... + 130014.

Almost surely, 2^8299782144 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 8299782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987948973).

8299782144 is an abundant number, since it is smaller than the sum of its proper divisors (15676115802).

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

8299782144 is a wasteful number, since it uses less digits than its factorization.

8299782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112605 (or 112578 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 8299782144 is about 91103.1401434660. The cubic root of 8299782144 is about 2024.6761373242.

The spelling of 8299782144 in words is "eight billion, two hundred ninety-nine million, seven hundred eighty-two thousand, one hundred forty-four".