6138058508316 has 288 divisors, whose sum is σ = 19373900474880. Its totient is φ = 1645894162944.

The previous prime is 6138058508293. The next prime is 6138058508359.

6138058508316 is a `hidden beast` number, since 6 + 1 + 3 + 80 + 58 + 508 + 3 + 1 + 6 = 666.

6138058508316 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 29096916 + ... + 29307108.

It is an arithmetic number, because the mean of its divisors is an integer number (67270487760).

Almost surely, 2^{6138058508316} 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 6138058508316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686950237440).

6138058508316 is an abundant number, since it is smaller than the sum of its proper divisors (13235841966564).

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

6138058508316 is a wasteful number, since it uses less digits than its factorization.

6138058508316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210358 (or 210331 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 6138058508316 in words is "six trillion, one hundred thirty-eight billion, fifty-eight million, five hundred eight thousand, three hundred sixteen".