6138683852288 has 80 divisors (see below), whose sum is σ = 13210203878256. Its totient is φ = 2832952320000.

The previous prime is 6138683852269. The next prime is 6138683852299. The reversal of 6138683852288 is 8822583868316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74845670 + ... + 74927642.

Almost surely, 2^{6138683852288} 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 6138683852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605101939128).

6138683852288 is an abundant number, since it is smaller than the sum of its proper divisors (7071520025968).

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

6138683852288 is a wasteful number, since it uses less digits than its factorization.

6138683852288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93255 (or 93239 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 68.

The spelling of 6138683852288 in words is "six trillion, one hundred thirty-eight billion, six hundred eighty-three million, eight hundred fifty-two thousand, two hundred eighty-eight".