48179588597184 has 112 divisors (see below), whose sum is σ = 139133252522880. Its totient is φ = 14592585047040.

The previous prime is 48179588597051. The next prime is 48179588597219.

48179588597184 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 48179588597097 and 48179588597106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464199 + ... + 9924870.

It is an arithmetic number, because the mean of its divisors is an integer number (1242261183240).

Almost surely, 2^{48179588597184} is an apocalyptic number.

48179588597184 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 48179588597184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69566626261440).

48179588597184 is an abundant number, since it is smaller than the sum of its proper divisors (90953663925696).

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

48179588597184 is a wasteful number, since it uses less digits than its factorization.

48179588597184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11391098 (or 11391088 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 84.

The spelling of 48179588597184 in words is "forty-eight trillion, one hundred seventy-nine billion, five hundred eighty-eight million, five hundred ninety-seven thousand, one hundred eighty-four".