48384853440 has 896 divisors, whose sum is σ = 202250649600. Its totient is φ = 9502310400.

The previous prime is 48384853423. The next prime is 48384853441. The reversal of 48384853440 is 4435848384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48384853441) 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 127 ways as a sum of consecutive naturals, for example, 253323745 + ... + 253323935.

Almost surely, 2^48384853440 is an apocalyptic number.

48384853440 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 48384853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101125324800).

48384853440 is an abundant number, since it is smaller than the sum of its proper divisors (153865796160).

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

48384853440 is a wasteful number, since it uses less digits than its factorization.

48384853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 48384853440 in words is "forty-eight billion, three hundred eighty-four million, eight hundred fifty-three thousand, four hundred forty".