6138358538316 has 96 divisors (see below), whose sum is σ = 14868214502400. Its totient is φ = 1968702328320.

The previous prime is 6138358538293. The next prime is 6138358538327.

6138358538316 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6138358538316.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601146451 + ... + 601156661.

It is an arithmetic number, because the mean of its divisors is an integer number (154877234400).

Almost surely, 2^{6138358538316} 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 6138358538316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434107251200).

6138358538316 is an abundant number, since it is smaller than the sum of its proper divisors (8729855964084).

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

6138358538316 is a wasteful number, since it uses less digits than its factorization.

6138358538316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16079 (or 16077 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The spelling of 6138358538316 in words is "six trillion, one hundred thirty-eight billion, three hundred fifty-eight million, five hundred thirty-eight thousand, three hundred sixteen".