164205562185 has 48 divisors (see below), whose sum is σ = 336500087040. Its totient is φ = 72476933760.

The previous prime is 164205562163. The next prime is 164205562207. The reversal of 164205562185 is 581265502461.

164205562185 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 0 + 5 + 562 + 1 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (164205562163) and next prime (164205562207).

It is not a de Polignac number, because 164205562185 - 2¹¹ = 164205560137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 164205562185.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8978581 + ... + 8996850.

It is an arithmetic number, because the mean of its divisors is an integer number (7010418480).

Almost surely, 2^164205562185 is an apocalyptic number.

164205562185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164205562185 is an abundant number, since it is smaller than the sum of its proper divisors (172294524855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164205562185 is a wasteful number, since it uses less digits than its factorization.

164205562185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17975478 (or 17975475 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 164205562185 in words is "one hundred sixty-four billion, two hundred five million, five hundred sixty-two thousand, one hundred eighty-five".