505444330344305 has 16 divisors (see below), whose sum is σ = 665731918885824. Its totient is φ = 365340687180480.

The previous prime is 505444330344263. The next prime is 505444330344379. The reversal of 505444330344305 is 503443033444505.

It is not a de Polignac number, because 505444330344305 - 2³² = 505440035377009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505444330344305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28189858874 + ... + 28189876803.

It is an arithmetic number, because the mean of its divisors is an integer number (41608244930364).

Almost surely, 2^{505444330344305} is an apocalyptic number.

505444330344305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505444330344305 is a deficient number, since it is larger than the sum of its proper divisors (160287588541519).

505444330344305 is a wasteful number, since it uses less digits than its factorization.

505444330344305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56379735856.

The product of its (nonzero) digits is 10368000, while the sum is 47.

The spelling of 505444330344305 in words is "five hundred five trillion, four hundred forty-four billion, three hundred thirty million, three hundred forty-four thousand, three hundred five".