48592829584 has 120 divisors (see below), whose sum is σ = 103586483880. Its totient is φ = 22070071296.

The previous prime is 48592829557. The next prime is 48592829617.

48592829584 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 10521015184 + 38071814400 = 102572^2 + 195120^2 .

It is a super-2 number, since 2×48592829584² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50988852 + ... + 50989804.

It is an arithmetic number, because the mean of its divisors is an integer number (863220699).

Almost surely, 2^48592829584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48592829584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793241940).

48592829584 is an abundant number, since it is smaller than the sum of its proper divisors (54993654296).

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

48592829584 is a wasteful number, since it uses less digits than its factorization.

48592829584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1250 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 64.

The spelling of 48592829584 in words is "forty-eight billion, five hundred ninety-two million, eight hundred twenty-nine thousand, five hundred eighty-four".