164306635114211 has 16 divisors (see below), whose sum is σ = 164785206643200. Its totient is φ = 163828635236448.

The previous prime is 164306635114201. The next prime is 164306635114273. The reversal of 164306635114211 is 112411536603461.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164306635114211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164306635114201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8707745885 + ... + 8707764753.

It is an arithmetic number, because the mean of its divisors is an integer number (10299075415200).

Almost surely, 2^{164306635114211} is an apocalyptic number.

164306635114211 is a deficient number, since it is larger than the sum of its proper divisors (478571528989).

164306635114211 is a wasteful number, since it uses less digits than its factorization.

164306635114211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32698.

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 164306635114211 in words is "one hundred sixty-four trillion, three hundred six billion, six hundred thirty-five million, one hundred fourteen thousand, two hundred eleven".