564104401465 has 32 divisors (see below), whose sum is σ = 748993029120. Its totient is φ = 404410238400.

The previous prime is 564104401463. The next prime is 564104401481.

It is a happy number.

564104401465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564104401465 - 2¹ = 564104401463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564104401463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36961006 + ... + 36976264.

It is an arithmetic number, because the mean of its divisors is an integer number (23406032160).

Almost surely, 2^564104401465 is an apocalyptic number.

564104401465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564104401465 is a deficient number, since it is larger than the sum of its proper divisors (184888627655).

564104401465 is a wasteful number, since it uses less digits than its factorization.

564104401465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24813.

The product of its (nonzero) digits is 230400, while the sum is 40.

It can be divided in two parts, 564104 and 401465, that added together give a palindrome (965569).

The spelling of 564104401465 in words is "five hundred sixty-four billion, one hundred four million, four hundred one thousand, four hundred sixty-five".