164264116561 has 8 divisors (see below), whose sum is σ = 173455058880. Its totient is φ = 155127720528.

The previous prime is 164264116537. The next prime is 164264116567. The reversal of 164264116561 is 165611462461.

164264116561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 164264116561 - 2¹¹ = 164264114513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164264116567) 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 7 ways as a sum of consecutive naturals, for example, 13630381 + ... + 13642426.

It is an arithmetic number, because the mean of its divisors is an integer number (21681882360).

Almost surely, 2^164264116561 is an apocalyptic number.

It is an amenable number.

164264116561 is a deficient number, since it is larger than the sum of its proper divisors (9190942319).

164264116561 is a wasteful number, since it uses less digits than its factorization.

164264116561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27273143.

The product of its digits is 207360, while the sum is 43.

The spelling of 164264116561 in words is "one hundred sixty-four billion, two hundred sixty-four million, one hundred sixteen thousand, five hundred sixty-one".