8241522432 has 288 divisors, whose sum is σ = 26059332096. Its totient is φ = 2279424000.

The previous prime is 8241522409. The next prime is 8241522473. The reversal of 8241522432 is 2342251428.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8241522393 and 8241522402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11091853 + ... + 11092595.

It is an arithmetic number, because the mean of its divisors is an integer number (90483792).

Almost surely, 2^8241522432 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 8241522432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029666048).

8241522432 is an abundant number, since it is smaller than the sum of its proper divisors (17817809664).

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

8241522432 is a wasteful number, since it uses less digits than its factorization.

8241522432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 8241522432 is about 90782.8311521512. The cubic root of 8241522432 is about 2019.9276541747.

It can be divided in two parts, 82 and 41522432, that added together give a palindrome (41522514).

The spelling of 8241522432 in words is "eight billion, two hundred forty-one million, five hundred twenty-two thousand, four hundred thirty-two".