6305793242112 has 2112 divisors, whose sum is σ = 24837544704000. Its totient is φ = 1542774325248.

The previous prime is 6305793242107. The next prime is 6305793242113. The reversal of 6305793242112 is 2112423975036.

It is a happy number.

6305793242112 is a `hidden beast` number, since 6 + 3 + 0 + 579 + 32 + 42 + 1 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6305793242113) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45365418939 + ... + 45365419077.

Almost surely, 2^{6305793242112} 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 6305793242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418772352000).

6305793242112 is an abundant number, since it is smaller than the sum of its proper divisors (18531751461888).

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

6305793242112 is a wasteful number, since it uses less digits than its factorization.

6305793242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 6305793242112 in words is "six trillion, three hundred five billion, seven hundred ninety-three million, two hundred forty-two thousand, one hundred twelve".