6138304248384 has 1792 divisors, whose sum is σ = 24539745484800. Its totient is φ = 1457259724800.

The previous prime is 6138304248367. The next prime is 6138304248403. The reversal of 6138304248384 is 4838424038316.

6138304248384 is a `hidden beast` number, since 6 + 1 + 3 + 83 + 0 + 4 + 2 + 483 + 84 = 666.

It is a super-2 number, since 2×6138304248384² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6138304248384.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8443334229 + ... + 8443334955.

It is an arithmetic number, because the mean of its divisors is an integer number (13694054400).

Almost surely, 2^{6138304248384} is an apocalyptic number.

6138304248384 is a gapful number since it is divisible by the number (64) 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 6138304248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12269872742400).

6138304248384 is an abundant number, since it is smaller than the sum of its proper divisors (18401441236416).

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

6138304248384 is a wasteful number, since it uses less digits than its factorization.

6138304248384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 6138304248384 in words is "six trillion, one hundred thirty-eight billion, three hundred four million, two hundred forty-eight thousand, three hundred eighty-four".