48273408000 has 720 divisors, whose sum is σ = 182342850144. Its totient is φ = 12740198400.

The previous prime is 48273407969. The next prime is 48273408049. The reversal of 48273408000 is 80437284.

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 (36).

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 47 ways as a sum of consecutive naturals, for example, 497663952 + ... + 497664048.

Almost surely, 2^48273408000 is an apocalyptic number.

48273408000 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 48273408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91171425072).

48273408000 is an abundant number, since it is smaller than the sum of its proper divisors (134069442144).

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

48273408000 is an frugal number, since it uses more digits than its factorization.

48273408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 48273408000 in words is "forty-eight billion, two hundred seventy-three million, four hundred eight thousand".