4638018609 has 135 divisors (see below), whose sum is σ = 8608290537. Its totient is φ = 2481128496.

The previous prime is 4638018601. The next prime is 4638018613. The reversal of 4638018609 is 9068108364.

The square root of 4638018609 is 68103.

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

4638018609 is a `hidden beast` number, since 4 + 6 + 38 + 0 + 1 + 8 + 609 = 666.

It is not a de Polignac number, because 4638018609 - 2³ = 4638018601 is a prime.

It is a super-2 number, since 2×4638018609² = 43022433234860589762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4638018601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 98681224 + ... + 98681270.

Almost surely, 2^4638018609 is an apocalyptic number.

4638018609 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4638018609 is the 68103-rd square number.

4638018609 is the 34052-nd centered octagonal number.

It is an amenable number.

4638018609 is a deficient number, since it is larger than the sum of its proper divisors (3970271928).

4638018609 is an equidigital number, since it uses as much as digits as its factorization.

4638018609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 4638018609 is about 1667.6727367627.

The spelling of 4638018609 in words is "four billion, six hundred thirty-eight million, eighteen thousand, six hundred nine".