8243169984 has 224 divisors, whose sum is σ = 29325173760. Its totient is φ = 2216595456.

The previous prime is 8243169941. The next prime is 8243170003. The reversal of 8243169984 is 4899613428.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8243169984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185589 + ... + 225675.

Almost surely, 2^8243169984 is an apocalyptic number.

8243169984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8243169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662586880).

8243169984 is an abundant number, since it is smaller than the sum of its proper divisors (21082003776).

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

8243169984 is a wasteful number, since it uses less digits than its factorization.

8243169984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40132 (or 40116 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 8243169984 is about 90791.9048373807. The cubic root of 8243169984 is about 2020.0622455740.

The spelling of 8243169984 in words is "eight billion, two hundred forty-three million, one hundred sixty-nine thousand, nine hundred eighty-four".