48024635904 has 480 divisors, whose sum is σ = 174040289280. Its totient is φ = 12430319616.

The previous prime is 48024635899. The next prime is 48024635917. The reversal of 48024635904 is 40953642084.

48024635904 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 4 + 635 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48024635904.

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 47 ways as a sum of consecutive naturals, for example, 14094169 + ... + 14097575.

It is an arithmetic number, because the mean of its divisors is an integer number (362583936).

Almost surely, 2^48024635904 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 48024635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87020144640).

48024635904 is an abundant number, since it is smaller than the sum of its proper divisors (126015653376).

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

48024635904 is a wasteful number, since it uses less digits than its factorization.

48024635904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 48024635904 in words is "forty-eight billion, twenty-four million, six hundred thirty-five thousand, nine hundred four".