4164508089 has 45 divisors (see below), whose sum is σ = 7033571493. Its totient is φ = 2374298136.

The previous prime is 4164508069. The next prime is 4164508093. The reversal of 4164508089 is 9808054614.

The square root of 4164508089 is 64533.

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

4164508089 is a `hidden beast` number, since 4 + 1 + 64 + 508 + 0 + 89 = 666.

It is not a de Polignac number, because 4164508089 - 2⁵ = 4164508057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4164508009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9486132 + ... + 9486570.

Almost surely, 2^4164508089 is an apocalyptic number.

4164508089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4164508089 is the 64533-rd square number.

4164508089 is the 32267-th centered octagonal number.

It is an amenable number.

4164508089 is a deficient number, since it is larger than the sum of its proper divisors (2869063404).

4164508089 is an frugal number, since it uses more digits than its factorization.

4164508089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The cubic root of 4164508089 is about 1608.8710485002.

The spelling of 4164508089 in words is "four billion, one hundred sixty-four million, five hundred eight thousand, eighty-nine".