8538824385 has 128 divisors (see below), whose sum is σ = 18916101120. Its totient is φ = 3602776320.

The previous prime is 8538824377. The next prime is 8538824389. The reversal of 8538824385 is 5834288358.

8538824385 is a `hidden beast` number, since 8 + 538 + 8 + 24 + 3 + 85 = 666.

It is not a de Polignac number, because 8538824385 - 2³ = 8538824377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8538824389) 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 127 ways as a sum of consecutive naturals, for example, 990795 + ... + 999375.

It is an arithmetic number, because the mean of its divisors is an integer number (147782040).

Almost surely, 2^8538824385 is an apocalyptic number.

It is an amenable number.

8538824385 is an abundant number, since it is smaller than the sum of its proper divisors (10377276735).

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

8538824385 is an equidigital number, since it uses as much as digits as its factorization.

8538824385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8627 (or 8609 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 8538824385 is about 92405.7594795909. The cubic root of 8538824385 is about 2043.9300428880.

The spelling of 8538824385 in words is "eight billion, five hundred thirty-eight million, eight hundred twenty-four thousand, three hundred eighty-five".