18746264889 has 63 divisors (see below), whose sum is σ = 30961125727. Its totient is φ = 11336727600.

The previous prime is 18746264881. The next prime is 18746264917. The reversal of 18746264889 is 98846264781.

The square root of 18746264889 is 136917.

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

It can be written as a sum of positive squares in only one way, i.e., 6008885289 + 12737379600 = 77517^2 + 112860^2 .

It is not a de Polignac number, because 18746264889 - 2³ = 18746264881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18746264881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 40664119 + ... + 40664579.

Almost surely, 2^18746264889 is an apocalyptic number.

18746264889 is the 136917-th square number.

18746264889 is the 68459-th centered octagonal number.

It is an amenable number.

18746264889 is a deficient number, since it is larger than the sum of its proper divisors (12214860838).

18746264889 is an frugal number, since it uses more digits than its factorization.

18746264889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 475 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 18746264889 in words is "eighteen billion, seven hundred forty-six million, two hundred sixty-four thousand, eight hundred eighty-nine".