164261552110161 has 64 divisors (see below), whose sum is σ = 239966199095040. Its totient is φ = 99120061440000.

The previous prime is 164261552110093. The next prime is 164261552110177. The reversal of 164261552110161 is 161011255162461.

It is a happy number.

It is not a de Polignac number, because 164261552110161 - 2¹⁴ = 164261552093777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164261552110261) 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, 34734942045 + ... + 34734946773.

It is an arithmetic number, because the mean of its divisors is an integer number (3749471860860).

Almost surely, 2^{164261552110161} is an apocalyptic number.

164261552110161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164261552110161 is a deficient number, since it is larger than the sum of its proper divisors (75704646984879).

164261552110161 is a wasteful number, since it uses less digits than its factorization.

164261552110161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9458.

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 164261552110161 in words is "one hundred sixty-four trillion, two hundred sixty-one billion, five hundred fifty-two million, one hundred ten thousand, one hundred sixty-one".