18338690304 has 270 divisors, whose sum is σ = 60113953130. Its totient is φ = 5556418560.

The previous prime is 18338690297. The next prime is 18338690317. The reversal of 18338690304 is 40309683381.

18338690304 is a `hidden beast` number, since 1 + 8 + 338 + 6 + 9 + 0 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15265096704 + 3073593600 = 123552^2 + 55440^2 .

It is a super-2 number, since 2×18338690304² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18338690304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2505402 + ... + 2512710.

Almost surely, 2^18338690304 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 18338690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30056976565).

18338690304 is an abundant number, since it is smaller than the sum of its proper divisors (41775262826).

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

18338690304 is an equidigital number, since it uses as much as digits as its factorization.

18338690304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 18338690304 in words is "eighteen billion, three hundred thirty-eight million, six hundred ninety thousand, three hundred four".