48384864000 has 720 divisors, whose sum is σ = 196539479136. Its totient is φ = 11722752000.

The previous prime is 48384863971. The next prime is 48384864049. The reversal of 48384864000 is 46848384.

48384864000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28511152 + ... + 28512848.

Almost surely, 2^48384864000 is an apocalyptic number.

48384864000 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 48384864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98269739568).

48384864000 is an abundant number, since it is smaller than the sum of its proper divisors (148154615136).

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

48384864000 is a wasteful number, since it uses less digits than its factorization.

48384864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1718 counting only the distinct ones).

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

The spelling of 48384864000 in words is "forty-eight billion, three hundred eighty-four million, eight hundred sixty-four thousand".