48844000800 has 648 divisors, whose sum is σ = 200822521536. Its totient is φ = 10941972480.

The previous prime is 48844000763. The next prime is 48844000819. The reversal of 48844000800 is 800044884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 107 ways as a sum of consecutive naturals, for example, 474213549 + ... + 474213651.

Almost surely, 2^48844000800 is an apocalyptic number.

48844000800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48844000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100411260768).

48844000800 is an abundant number, since it is smaller than the sum of its proper divisors (151978520736).

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

48844000800 is a wasteful number, since it uses less digits than its factorization.

48844000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 48844000800 in words is "forty-eight billion, eight hundred forty-four million, eight hundred", and thus it is an aban number.