48800836224 has 768 divisors, whose sum is σ = 178112563200. Its totient is φ = 12517908480.

The previous prime is 48800836223. The next prime is 48800836237. The reversal of 48800836224 is 42263800884.

It is a self number, because there is not a number n which added to its sum of digits gives 48800836224.

It is not an unprimeable number, because it can be changed into a prime (48800836223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231283479 + ... + 231283689.

It is an arithmetic number, because the mean of its divisors is an integer number (231917400).

Almost surely, 2^48800836224 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 48800836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056281600).

48800836224 is an abundant number, since it is smaller than the sum of its proper divisors (129311726976).

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

48800836224 is a wasteful number, since it uses less digits than its factorization.

48800836224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 48800836224 in words is "forty-eight billion, eight hundred million, eight hundred thirty-six thousand, two hundred twenty-four".