300834871646464 has 81 divisors (see below), whose sum is σ = 601716314278443. Its totient is φ = 150112032247296.

The previous prime is 300834871646453. The next prime is 300834871646473. The reversal of 300834871646464 is 464646178438003.

It is a happy number.

The square root of 300834871646464 is 17344592.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300834871646396 and 300834871646405.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 206192508967 + ... + 206192510425.

Almost surely, 2^{300834871646464} is an apocalyptic number.

300834871646464 is the 17344592-nd square number.

It is an amenable number.

300834871646464 is an abundant number, since it is smaller than the sum of its proper divisors (300881442631979).

300834871646464 is an frugal number, since it uses more digits than its factorization.

300834871646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 64.

300834871646464 divided by its sum of digits (64) gives a square (4700544869476 = 2168074²).

The spelling of 300834871646464 in words is "three hundred trillion, eight hundred thirty-four billion, eight hundred seventy-one million, six hundred forty-six thousand, four hundred sixty-four".