564364463465 has 32 divisors (see below), whose sum is σ = 753811954560. Its totient is φ = 402193152000.

The previous prime is 564364463357. The next prime is 564364463491.

564364463465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564364463465 - 2⁸ = 564364463209 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 564364463465.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15146 + ... + 1062524.

It is an arithmetic number, because the mean of its divisors is an integer number (23556623580).

Almost surely, 2^564364463465 is an apocalyptic number.

564364463465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564364463465 is a deficient number, since it is larger than the sum of its proper divisors (189447491095).

564364463465 is a wasteful number, since it uses less digits than its factorization.

564364463465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047593.

The product of its digits is 74649600, while the sum is 56.

The spelling of 564364463465 in words is "five hundred sixty-four billion, three hundred sixty-four million, four hundred sixty-three thousand, four hundred sixty-five".