6385694112 has 288 divisors, whose sum is σ = 21385728000. Its totient is φ = 1806561792.

The previous prime is 6385694111. The next prime is 6385694113. The reversal of 6385694112 is 2114965836.

6385694112 is a `hidden beast` number, since 6 + 38 + 569 + 41 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (6385694111) and next prime (6385694113).

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (311040) is a multiple of the sum of its prime divisors (648).

It is not an unprimeable number, because it can be changed into a prime (6385694111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12545314 + ... + 12545822.

It is an arithmetic number, because the mean of its divisors is an integer number (74256000).

Almost surely, 2^6385694112 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 6385694112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692864000).

6385694112 is an abundant number, since it is smaller than the sum of its proper divisors (15000033888).

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

6385694112 is a wasteful number, since it uses less digits than its factorization.

6385694112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 648 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 6385694112 is about 79910.5381786407. The cubic root of 6385694112 is about 1855.2511253704.

The spelling of 6385694112 in words is "six billion, three hundred eighty-five million, six hundred ninety-four thousand, one hundred twelve".