164051731089 has 27 divisors (see below), whose sum is σ = 240141635643. Its totient is φ = 107920232784.

The previous prime is 164051731087. The next prime is 164051731099. The reversal of 164051731089 is 980137150461.

The square root of 164051731089 is 405033.

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

164051731089 is a `hidden beast` number, since 1 + 6 + 40 + 517 + 3 + 10 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30841330689 + 133210400400 = 175617^2 + 364980^2 .

It is not a de Polignac number, because 164051731089 - 2¹ = 164051731087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164051731087) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 95991967 + ... + 95993675.

Almost surely, 2^164051731089 is an apocalyptic number.

164051731089 is the 405033-rd square number.

164051731089 is the 202517-th centered octagonal number.

It is an amenable number.

164051731089 is a deficient number, since it is larger than the sum of its proper divisors (76089904554).

164051731089 is an frugal number, since it uses more digits than its factorization.

164051731089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 164051731089 in words is "one hundred sixty-four billion, fifty-one million, seven hundred thirty-one thousand, eighty-nine".