18339384960 has 768 divisors, whose sum is σ = 72604546560. Its totient is φ = 4395368448.

The previous prime is 18339384941. The next prime is 18339384971. The reversal of 18339384960 is 6948393381.

It is a super-2 number, since 2×18339384960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18339384897 and 18339384906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95022624 + ... + 95022816.

It is an arithmetic number, because the mean of its divisors is an integer number (94537170).

Almost surely, 2^18339384960 is an apocalyptic number.

18339384960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18339384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36302273280).

18339384960 is an abundant number, since it is smaller than the sum of its proper divisors (54265161600).

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

18339384960 is a wasteful number, since it uses less digits than its factorization.

18339384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 18339384960 in words is "eighteen billion, three hundred thirty-nine million, three hundred eighty-four thousand, nine hundred sixty".