564142324442121 has 20 divisors (see below), whose sum is σ = 844853875113732. Its totient is φ = 375147540665568.

The previous prime is 564142324442117. The next prime is 564142324442159. The reversal of 564142324442121 is 121244423241465.

564142324442121 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 423 + 2 + 4 + 4 + 4 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176650973402121 + 387491351040000 = 13291011^2 + 19684800^2 .

It is not a de Polignac number, because 564142324442121 - 2² = 564142324442117 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (564142324402121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8771655570 + ... + 8771719883.

Almost surely, 2^{564142324442121} is an apocalyptic number.

It is an amenable number.

564142324442121 is a deficient number, since it is larger than the sum of its proper divisors (280711550671611).

564142324442121 is a wasteful number, since it uses less digits than its factorization.

564142324442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17543375862 (or 17543375853 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

Adding to 564142324442121 its reverse (121244423241465), we get a palindrome (685386747683586).

The spelling of 564142324442121 in words is "five hundred sixty-four trillion, one hundred forty-two billion, three hundred twenty-four million, four hundred forty-two thousand, one hundred twenty-one".