48848000800 has 72 divisors (see below), whose sum is σ = 119745468612. Its totient is φ = 19458048000.

The previous prime is 48848000797. The next prime is 48848000819. The reversal of 48848000800 is 800084884.

48848000800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16745395216 + 32102605584 = 129404^2 + 179172^2 .

It is a super-2 number, since 2×48848000800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66120 + ... + 319480.

Almost surely, 2^48848000800 is an apocalyptic number.

48848000800 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 48848000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59872734306).

48848000800 is an abundant number, since it is smaller than the sum of its proper divisors (70897467812).

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

48848000800 is a wasteful number, since it uses less digits than its factorization.

48848000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253622 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

It can be divided in two parts, 48 and 848000800, that added together give a palindrome (848000848).

The spelling of 48848000800 in words is "forty-eight billion, eight hundred forty-eight million, eight hundred", and thus it is an aban number.