306141147965568 has 128 divisors (see below), whose sum is σ = 866304325091520. Its totient is φ = 95455052660736.

The previous prime is 306141147965509. The next prime is 306141147965579. The reversal of 306141147965568 is 865569741141603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 306141147965499 and 306141147965508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142790605 + ... + 144918732.

Almost surely, 2^{306141147965568} is an apocalyptic number.

It is an amenable number.

306141147965568 is an abundant number, since it is smaller than the sum of its proper divisors (560163177125952).

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

306141147965568 is a wasteful number, since it uses less digits than its factorization.

306141147965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287709534 (or 287709522 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 306141147965568 in words is "three hundred six trillion, one hundred forty-one billion, one hundred forty-seven million, nine hundred sixty-five thousand, five hundred sixty-eight".