6138531330048 has 480 divisors, whose sum is σ = 19863760316400. Its totient is φ = 1888666730496.

The previous prime is 6138531330007. The next prime is 6138531330067. The reversal of 6138531330048 is 8400331358316.

It is a junction number, because it is equal to n+sod(n) for n = 6138531329985 and 6138531330012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 364447515 + ... + 364464357.

Almost surely, 2^{6138531330048} 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 6138531330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9931880158200).

6138531330048 is an abundant number, since it is smaller than the sum of its proper divisors (13725228986352).

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

6138531330048 is an equidigital number, since it uses as much as digits as its factorization.

6138531330048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916 (or 16861 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6138531330048 in words is "six trillion, one hundred thirty-eight billion, five hundred thirty-one million, three hundred thirty thousand, forty-eight".