18946305 has 80 divisors (see below), whose sum is σ = 40005504. Its totient is φ = 8398080.

The previous prime is 18946261. The next prime is 18946307. The reversal of 18946305 is 50364981.

18946305 is a `hidden beast` number, since 18 + 9 + 4 + 630 + 5 = 666.

It is not a de Polignac number, because 18946305 - 2⁸ = 18946049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18946305.

It is not an unprimeable number, because it can be changed into a prime (18946307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116154 + ... + 116316.

Almost surely, 2^18946305 is an apocalyptic number.

18946305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18946305 is an abundant number, since it is smaller than the sum of its proper divisors (21059199).

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

18946305 is a wasteful number, since it uses less digits than its factorization.

18946305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 18946305 is about 4352.7353468825. The cubic root of 18946305 is about 266.5885595898.

The spelling of 18946305 in words is "eighteen million, nine hundred forty-six thousand, three hundred five".