564826404628465 has 64 divisors (see below), whose sum is σ = 811856037888000. Its totient is φ = 368839967215104.

The previous prime is 564826404628463. The next prime is 564826404628481.

564826404628465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564826404628465 - 2¹ = 564826404628463 is a prime.

It is a super-3 number, since 3×564826404628465³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564826404628394 and 564826404628403.

It is not an unprimeable number, because it can be changed into a prime (564826404628463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 894128614 + ... + 894760096.

It is an arithmetic number, because the mean of its divisors is an integer number (12685250592000).

Almost surely, 2^{564826404628465} is an apocalyptic number.

It is an amenable number.

564826404628465 is a deficient number, since it is larger than the sum of its proper divisors (247029633259535).

564826404628465 is a wasteful number, since it uses less digits than its factorization.

564826404628465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636406.

The product of its (nonzero) digits is 2123366400, while the sum is 70.

The spelling of 564826404628465 in words is "five hundred sixty-four trillion, eight hundred twenty-six billion, four hundred four million, six hundred twenty-eight thousand, four hundred sixty-five".