8281116576 has 144 divisors (see below), whose sum is σ = 24422580000. Its totient is φ = 2658507264.

The previous prime is 8281116563. The next prime is 8281116577. The reversal of 8281116576 is 6756111828.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (161280) is a multiple of the sum of its prime divisors (2520).

It is not an unprimeable number, because it can be changed into a prime (8281116577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4166655 + ... + 4168641.

It is an arithmetic number, because the mean of its divisors is an integer number (169601250).

Almost surely, 2^8281116576 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 8281116576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12211290000).

8281116576 is an abundant number, since it is smaller than the sum of its proper divisors (16141463424).

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

8281116576 is a wasteful number, since it uses less digits than its factorization.

8281116576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2520 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 8281116576 is about 91000.6405252183. The cubic root of 8281116576 is about 2023.1572181069.

The spelling of 8281116576 in words is "eight billion, two hundred eighty-one million, one hundred sixteen thousand, five hundred seventy-six".