48273099171840 has 384 divisors, whose sum is σ = 173663283830400. Its totient is φ = 12717726105600.

The previous prime is 48273099171799. The next prime is 48273099171901. The reversal of 48273099171840 is 4817199037284.

48273099171840 is a `hidden beast` number, since 4 + 82 + 7 + 309 + 9 + 171 + 84 + 0 = 666.

48273099171840 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 (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21896040 + ... + 23999640.

It is an arithmetic number, because the mean of its divisors is an integer number (452248134975).

Almost surely, 2^{48273099171840} is an apocalyptic number.

48273099171840 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 48273099171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86831641915200).

48273099171840 is an abundant number, since it is smaller than the sum of its proper divisors (125390184658560).

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

48273099171840 is a wasteful number, since it uses less digits than its factorization.

48273099171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103720 (or 2103694 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 48273099171840 in words is "forty-eight trillion, two hundred seventy-three billion, ninety-nine million, one hundred seventy-one thousand, eight hundred forty".