164560846921 has 9 divisors (see below), whose sum is σ = 166876015221. Its totient is φ = 162277381152.

The previous prime is 164560846903. The next prime is 164560846937. The reversal of 164560846921 is 129648065461.

The square root of 164560846921 is 405661.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54190718521 + 110370128400 = 232789^2 + 332220^2 .

It is not a de Polignac number, because 164560846921 - 2⁹ = 164560846409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164560846951) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29610475 + ... + 29616031.

It is an arithmetic number, because the mean of its divisors is an integer number (18541779469).

Almost surely, 2^164560846921 is an apocalyptic number.

164560846921 is the 405661-st square number.

164560846921 is the 202831-st centered octagonal number.

It is an amenable number.

164560846921 is a deficient number, since it is larger than the sum of its proper divisors (2315168300).

164560846921 is an frugal number, since it uses more digits than its factorization.

164560846921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11260 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 164560846921 in words is "one hundred sixty-four billion, five hundred sixty million, eight hundred forty-six thousand, nine hundred twenty-one".