164200817089 has 27 divisors (see below), whose sum is σ = 173092851867. Its totient is φ = 155758931328.

The previous prime is 164200817069. The next prime is 164200817093. The reversal of 164200817089 is 980718002461.

The square root of 164200817089 is 405217.

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

It can be written as a sum of positive squares in 13 ways, for example, as 152963121025 + 11237696064 = 391105^2 + 106008^2 .

It is a de Polignac number, because none of the positive numbers 2^k-164200817089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164200817069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1045864999 + ... + 1045865155.

Almost surely, 2^164200817089 is an apocalyptic number.

164200817089 is the 405217-th square number.

164200817089 is the 202609-th centered octagonal number.

It is an amenable number.

164200817089 is a deficient number, since it is larger than the sum of its proper divisors (8892034778).

164200817089 is an frugal number, since it uses more digits than its factorization.

164200817089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 164200817089 in words is "one hundred sixty-four billion, two hundred million, eight hundred seventeen thousand, eighty-nine".