48273049681920 has 3072 divisors, whose sum is σ = 219625438556160. Its totient is φ = 9910855139328.

The previous prime is 48273049681847. The next prime is 48273049681981. The reversal of 48273049681920 is 2918694037284.

48273049681920 is a `hidden beast` number, since 4 + 8 + 27 + 30 + 496 + 8 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-4 number, since 4×48273049681920⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108968509219 + ... + 108968509661.

It is an arithmetic number, because the mean of its divisors is an integer number (71492655780).

Almost surely, 2^{48273049681920} is an apocalyptic number.

48273049681920 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 48273049681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109812719278080).

48273049681920 is an abundant number, since it is smaller than the sum of its proper divisors (171352388874240).

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

48273049681920 is an equidigital number, since it uses as much as digits as its factorization.

48273049681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 48273049681920 in words is "forty-eight trillion, two hundred seventy-three billion, forty-nine million, six hundred eighty-one thousand, nine hundred twenty".