48346064384 has 80 divisors (see below), whose sum is σ = 99896522880. Its totient is φ = 23350394880.

The previous prime is 48346064381. The next prime is 48346064461.

48346064384 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48346064381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9727052 + ... + 9732020.

It is an arithmetic number, because the mean of its divisors is an integer number (1248706536).

Almost surely, 2^48346064384 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 48346064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49948261440).

48346064384 is an abundant number, since it is smaller than the sum of its proper divisors (51550458496).

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

48346064384 is an equidigital number, since it uses as much as digits as its factorization.

48346064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 50.

The spelling of 48346064384 in words is "forty-eight billion, three hundred forty-six million, sixty-four thousand, three hundred eighty-four".