48423916800 has 1728 divisors, whose sum is σ = 223041280000. Its totient is φ = 10241925120.

The previous prime is 48423916769. The next prime is 48423916811. The reversal of 48423916800 is 861932484.

It is a happy number.

48423916800 is a `hidden beast` number, since 484 + 2 + 3 + 9 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1126137579 + ... + 1126137621.

Almost surely, 2^48423916800 is an apocalyptic number.

48423916800 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 48423916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111520640000).

48423916800 is an abundant number, since it is smaller than the sum of its proper divisors (174617363200).

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

48423916800 is a wasteful number, since it uses less digits than its factorization.

48423916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48423916800 in words is "forty-eight billion, four hundred twenty-three million, nine hundred sixteen thousand, eight hundred".