48134644643184 has 160 divisors (see below), whose sum is σ = 137189626801920. Its totient is φ = 14420970854400.

The previous prime is 48134644643143. The next prime is 48134644643209.

48134644643184 is nontrivially palindromic in base 10.

48134644643184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 551219494 + ... + 551306810.

It is an arithmetic number, because the mean of its divisors is an integer number (857435167512).

Almost surely, 2^{48134644643184} is an apocalyptic number.

48134644643184 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 48134644643184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68594813400960).

48134644643184 is an abundant number, since it is smaller than the sum of its proper divisors (89054982158736).

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

48134644643184 is a wasteful number, since it uses less digits than its factorization.

48134644643184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99159 (or 99153 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 60.

The spelling of 48134644643184 in words is "forty-eight trillion, one hundred thirty-four billion, six hundred forty-four million, six hundred forty-three thousand, one hundred eighty-four".