306346063066056 has 192 divisors, whose sum is σ = 921604018795200. Its totient is φ = 94245095572992.

The previous prime is 306346063066051. The next prime is 306346063066157. The reversal of 306346063066056 is 650660360643603.

306346063066056 is a `hidden beast` number, since 3 + 0 + 63 + 460 + 63 + 0 + 6 + 60 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 306346063065993 and 306346063066011.

It is not an unprimeable number, because it can be changed into a prime (306346063066051) 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, 226270435 + ... + 227620301.

It is an arithmetic number, because the mean of its divisors is an integer number (4800020931225).

Almost surely, 2^{306346063066056} is an apocalyptic number.

306346063066056 is a gapful number since it is divisible by the number (36) 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 306346063066056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460802009397600).

306346063066056 is an abundant number, since it is smaller than the sum of its proper divisors (615257955729144).

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

306346063066056 is a wasteful number, since it uses less digits than its factorization.

306346063066056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356125 (or 1356102 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 54.

The spelling of 306346063066056 in words is "three hundred six trillion, three hundred forty-six billion, sixty-three million, sixty-six thousand, fifty-six".