164346056602401 has 16 divisors (see below), whose sum is σ = 219390969003008. Its totient is φ = 109432669150800.

The previous prime is 164346056602397. The next prime is 164346056602597. The reversal of 164346056602401 is 104206650643461.

It is not a de Polignac number, because 164346056602401 - 2² = 164346056602397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164346056602901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361341 + ... + 18180906.

It is an arithmetic number, because the mean of its divisors is an integer number (13711935562688).

Almost surely, 2^{164346056602401} is an apocalyptic number.

It is an amenable number.

164346056602401 is a deficient number, since it is larger than the sum of its proper divisors (55044912400607).

164346056602401 is a wasteful number, since it uses less digits than its factorization.

164346056602401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19545612.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 164346056602401 in words is "one hundred sixty-four trillion, three hundred forty-six billion, fifty-six million, six hundred two thousand, four hundred one".