8232544512 has 252 divisors, whose sum is σ = 25450776064. Its totient is φ = 2653793280.

The previous prime is 8232544499. The next prime is 8232544531. The reversal of 8232544512 is 2154452328.

8232544512 is a `hidden beast` number, since 82 + 3 + 25 + 44 + 512 = 666.

It is a super-2 number, since 2×8232544512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5784633 + ... + 5786055.

Almost surely, 2^8232544512 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 8232544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725388032).

8232544512 is an abundant number, since it is smaller than the sum of its proper divisors (17218231552).

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

8232544512 is an equidigital number, since it uses as much as digits as its factorization.

8232544512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1459 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 8232544512 is about 90733.3704432939. The cubic root of 8232544512 is about 2019.1939168478.

The spelling of 8232544512 in words is "eight billion, two hundred thirty-two million, five hundred forty-four thousand, five hundred twelve".