564418909814465 has 8 divisors (see below), whose sum is σ = 700657957011240. Its totient is φ = 435964951028992.

The previous prime is 564418909814429. The next prime is 564418909814479.

It is a happy number.

564418909814465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 130366978922896 + 434051930891569 = 11417836^2 + 20833913^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 564418909814465 - 2¹⁶ = 564418909748929 is a prime.

It is a super-2 number, since 2×564418909814465² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564418909814392 and 564418909814401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1946272102664 + ... + 1946272102953.

It is an arithmetic number, because the mean of its divisors is an integer number (87582244626405).

Almost surely, 2^{564418909814465} is an apocalyptic number.

It is an amenable number.

564418909814465 is a deficient number, since it is larger than the sum of its proper divisors (136239047196775).

564418909814465 is a wasteful number, since it uses less digits than its factorization.

564418909814465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892544205651.

The product of its (nonzero) digits is 1194393600, while the sum is 74.

The spelling of 564418909814465 in words is "five hundred sixty-four trillion, four hundred eighteen billion, nine hundred nine million, eight hundred fourteen thousand, four hundred sixty-five".