8488132224 has 256 divisors, whose sum is σ = 26625231360. Its totient is φ = 2362060800.

The previous prime is 8488132193. The next prime is 8488132229. The reversal of 8488132224 is 4222318848.

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

It is not an unprimeable number, because it can be changed into a prime (8488132229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18175639 + ... + 18176105.

It is an arithmetic number, because the mean of its divisors is an integer number (104004810).

Almost surely, 2^8488132224 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 8488132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312615680).

8488132224 is an abundant number, since it is smaller than the sum of its proper divisors (18137099136).

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

8488132224 is a wasteful number, since it uses less digits than its factorization.

8488132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 8488132224 is about 92131.0600394894. The cubic root of 8488132224 is about 2039.8773013477.

The spelling of 8488132224 in words is "eight billion, four hundred eighty-eight million, one hundred thirty-two thousand, two hundred twenty-four".