48818375424 has 1296 divisors, whose sum is σ = 193384638720. Its totient is φ = 11705057280.

The previous prime is 48818375413. The next prime is 48818375429. The reversal of 48818375424 is 42457381884.

48818375424 is a `hidden beast` number, since 4 + 88 + 18 + 3 + 7 + 542 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48818375429) 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 143 ways as a sum of consecutive naturals, for example, 1319415534 + ... + 1319415570.

Almost surely, 2^48818375424 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 48818375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96692319360).

48818375424 is an abundant number, since it is smaller than the sum of its proper divisors (144566263296).

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

48818375424 is a wasteful number, since it uses less digits than its factorization.

48818375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 48818375424 in words is "forty-eight billion, eight hundred eighteen million, three hundred seventy-five thousand, four hundred twenty-four".