18505304064 has 240 divisors, whose sum is σ = 59532733260. Its totient is φ = 5693276160.

The previous prime is 18505304063. The next prime is 18505304071. The reversal of 18505304064 is 46040350581.

It is a happy number.

18505304064 is a `hidden beast` number, since 1 + 85 + 0 + 530 + 40 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12941337600 + 5563966464 = 113760^2 + 74592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18505304063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2152254 + ... + 2160834.

Almost surely, 2^18505304064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18505304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29766366630).

18505304064 is an abundant number, since it is smaller than the sum of its proper divisors (41027429196).

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

18505304064 is an equidigital number, since it uses as much as digits as its factorization.

18505304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8628 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 18505304064 in words is "eighteen billion, five hundred five million, three hundred four thousand, sixty-four".