48048084084 has 288 divisors, whose sum is σ = 153621852160. Its totient is φ = 11371726080.

The previous prime is 48048084043. The next prime is 48048084101.

It is a happy number.

48048084084 is nontrivially palindromic in base 10.

48048084084 is a modest number, since divided by 84084 gives 48048 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10436127 + ... + 10440729.

Almost surely, 2^48048084084 is an apocalyptic number.

48048084084 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 48048084084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76810926080).

48048084084 is an abundant number, since it is smaller than the sum of its proper divisors (105573768076).

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

48048084084 is a wasteful number, since it uses less digits than its factorization.

48048084084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

Multiplying 48048084084 by its sum of digits (48), we get a palindrome (2306308036032).

The spelling of 48048084084 in words is "forty-eight billion, forty-eight million, eighty-four thousand, eighty-four".