24117468804 has 243 divisors, whose sum is σ = 72963770607. Its totient is φ = 6708873600.

The previous prime is 24117468773. The next prime is 24117468833. The reversal of 24117468804 is 40886471142.

The square root of 24117468804 is 155298.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18574964100 + 5542504704 = 136290^2 + 74448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 24117468804.

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 80 ways as a sum of consecutive naturals, for example, 133245594 + ... + 133245774.

Almost surely, 2^24117468804 is an apocalyptic number.

24117468804 is the 155298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24117468804

24117468804 is an abundant number, since it is smaller than the sum of its proper divisors (48846301803).

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

24117468804 is a wasteful number, since it uses less digits than its factorization.

24117468804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 24117468804 in words is "twenty-four billion, one hundred seventeen million, four hundred sixty-eight thousand, eight hundred four".