8239782144 has 288 divisors, whose sum is σ = 25091555328. Its totient is φ = 2377728000.

The previous prime is 8239782143. The next prime is 8239782149. The reversal of 8239782144 is 4412879328.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8239782093 and 8239782102.

It is not an unprimeable number, because it can be changed into a prime (8239782143) 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, 19117609 + ... + 19118039.

It is an arithmetic number, because the mean of its divisors is an integer number (87123456).

Almost surely, 2^8239782144 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 8239782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545777664).

8239782144 is an abundant number, since it is smaller than the sum of its proper divisors (16851773184).

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

8239782144 is a wasteful number, since it uses less digits than its factorization.

8239782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 8239782144 is about 90773.2457500557. The cubic root of 8239782144 is about 2019.7854675280.

The spelling of 8239782144 in words is "eight billion, two hundred thirty-nine million, seven hundred eighty-two thousand, one hundred forty-four".