48864816000 has 2048 divisors, whose sum is σ = 243797299200. Its totient is φ = 9289728000.

The previous prime is 48864815941. The next prime is 48864816023. The reversal of 48864816000 is 61846884.

48864816000 is a `hidden beast` number, since 488 + 6 + 4 + 8 + 160 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 432431944 + ... + 432432056.

It is an arithmetic number, because the mean of its divisors is an integer number (119041650).

Almost surely, 2^48864816000 is an apocalyptic number.

48864816000 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 48864816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121898649600).

48864816000 is an abundant number, since it is smaller than the sum of its proper divisors (194932483200).

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

48864816000 is a wasteful number, since it uses less digits than its factorization.

48864816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 48864816000 in words is "forty-eight billion, eight hundred sixty-four million, eight hundred sixteen thousand".