564614501120505 has 48 divisors (see below), whose sum is σ = 1085136901168320. Its totient is φ = 269264739715200.

The previous prime is 564614501120479. The next prime is 564614501120519. The reversal of 564614501120505 is 505021105416465.

564614501120505 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 14 + 5 + 0 + 1 + 120 + 505 = 666.

It is not a de Polignac number, because 564614501120505 - 2⁶ = 564614501120441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9349439935 + ... + 9349500324.

It is an arithmetic number, because the mean of its divisors is an integer number (22607018774340).

Almost surely, 2^{564614501120505} is an apocalyptic number.

564614501120505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564614501120505 is a deficient number, since it is larger than the sum of its proper divisors (520522400047815).

564614501120505 is a wasteful number, since it uses less digits than its factorization.

564614501120505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18698940342 (or 18698940339 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 564614501120505 in words is "five hundred sixty-four trillion, six hundred fourteen billion, five hundred one million, one hundred twenty thousand, five hundred five".