164146544522231 has 64 divisors (see below), whose sum is σ = 184678930022400. Its totient is φ = 145234383630336.

The previous prime is 164146544522167. The next prime is 164146544522309. The reversal of 164146544522231 is 132225445641461.

It is a cyclic number.

It is not a de Polignac number, because 164146544522231 - 2⁶ = 164146544522167 is a prime.

It is a super-3 number, since 3×164146544522231³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164146544522231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164146544522431) 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, 437724710 + ... + 438099548.

It is an arithmetic number, because the mean of its divisors is an integer number (2885608281600).

Almost surely, 2^{164146544522231} is an apocalyptic number.

164146544522231 is a deficient number, since it is larger than the sum of its proper divisors (20532385500169).

164146544522231 is a wasteful number, since it uses less digits than its factorization.

164146544522231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375168.

The product of its digits is 5529600, while the sum is 50.

The spelling of 164146544522231 in words is "one hundred sixty-four trillion, one hundred forty-six billion, five hundred forty-four million, five hundred twenty-two thousand, two hundred thirty-one".