10008614824 has 16 divisors (see below), whose sum is σ = 20209703220. Its totient is φ = 4619360640.

The previous prime is 10008614789. The next prime is 10008614827. The reversal of 10008614824 is 42841680001.

10008614824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9974016900 + 34597924 = 99870^2 + 5882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10008614824.

It is not an unprimeable number, because it can be changed into a prime (10008614827) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 48118237 + ... + 48118444.

Almost surely, 2^10008614824 is an apocalyptic number.

It is an amenable number.

10008614824 is an abundant number, since it is smaller than the sum of its proper divisors (10201088396).

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

10008614824 is a wasteful number, since it uses less digits than its factorization.

10008614824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96236700 (or 96236696 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 10008614824 in words is "ten billion, eight million, six hundred fourteen thousand, eight hundred twenty-four".