56564344346565 has 32 divisors (see below), whose sum is σ = 98743957923456. Its totient is φ = 27421396104960.

The previous prime is 56564344346563. The next prime is 56564344346641.

It is a happy number.

56564344346565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56564344346565 - 2¹ = 56564344346563 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56564344346496 and 56564344346505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56564344346563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22164814 + ... + 24584703.

It is an arithmetic number, because the mean of its divisors is an integer number (3085748685108).

Almost surely, 2^{56564344346565} is an apocalyptic number.

56564344346565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56564344346565 is a deficient number, since it is larger than the sum of its proper divisors (42179613576891).

56564344346565 is a wasteful number, since it uses less digits than its factorization.

56564344346565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46756869.

The product of its digits is 1866240000, while the sum is 66.

The spelling of 56564344346565 in words is "fifty-six trillion, five hundred sixty-four billion, three hundred forty-four million, three hundred forty-six thousand, five hundred sixty-five".