48727844872784 has 160 divisors (see below), whose sum is σ = 118931924536320. Its totient is φ = 18788053939200.

The previous prime is 48727844872709. The next prime is 48727844872789.

48727844872784 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48727844872784² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48727844872699 and 48727844872708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48727844872789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53146079 + ... + 54055169.

It is an arithmetic number, because the mean of its divisors is an integer number (743324528352).

Almost surely, 2^{48727844872784} is an apocalyptic number.

48727844872784 is a gapful number since it is divisible by the number (44) 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 48727844872784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59465962268160).

48727844872784 is an abundant number, since it is smaller than the sum of its proper divisors (70204079663536).

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

48727844872784 is a wasteful number, since it uses less digits than its factorization.

48727844872784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909569 (or 909563 counting only the distinct ones).

The product of its digits is 10070523904, while the sum is 80.

The spelling of 48727844872784 in words is "forty-eight trillion, seven hundred twenty-seven billion, eight hundred forty-four million, eight hundred seventy-two thousand, seven hundred eighty-four".