3006509848056 has 192 divisors, whose sum is σ = 10069650864000. Its totient is φ = 796719525120.

The previous prime is 3006509848051. The next prime is 3006509848093. The reversal of 3006509848056 is 6508489056003.

It is a happy number.

3006509848056 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 509 + 8 + 4 + 80 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3006509847993 and 3006509848011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006509848051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7488786 + ... + 7880033.

It is an arithmetic number, because the mean of its divisors is an integer number (52446098250).

Almost surely, 2^{3006509848056} is an apocalyptic number.

3006509848056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3006509848056 is an abundant number, since it is smaller than the sum of its proper divisors (7063141015944).

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

3006509848056 is a wasteful number, since it uses less digits than its factorization.

3006509848056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15368874 (or 15368867 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3006509848056 in words is "three trillion, six billion, five hundred nine million, eight hundred forty-eight thousand, fifty-six".