18730384958768 has 160 divisors (see below), whose sum is σ = 44029806912000. Its totient is φ = 7540136128512.

The previous prime is 18730384958717. The next prime is 18730384958807. The reversal of 18730384958768 is 86785948303781.

It is a super-3 number, since 3×18730384958768³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155962808 + ... + 156082856.

It is an arithmetic number, because the mean of its divisors is an integer number (275186293200).

Almost surely, 2^{18730384958768} 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 18730384958768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014903456000).

18730384958768 is an abundant number, since it is smaller than the sum of its proper divisors (25299421953232).

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

18730384958768 is a wasteful number, since it uses less digits than its factorization.

18730384958768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120707 (or 120701 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 77.

The spelling of 18730384958768 in words is "eighteen trillion, seven hundred thirty billion, three hundred eighty-four million, nine hundred fifty-eight thousand, seven hundred sixty-eight".