18086233968 has 360 divisors, whose sum is σ = 57308050800. Its totient is φ = 5319198720.

The previous prime is 18086233961. The next prime is 18086234017. The reversal of 18086233968 is 86933268081.

It is a happy number.

18086233968 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 623 + 3 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×18086233968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18086233961) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 165928698 + ... + 165928806.

It is an arithmetic number, because the mean of its divisors is an integer number (159189030).

Almost surely, 2^18086233968 is an apocalyptic number.

18086233968 is a gapful number since it is divisible by the number (18) 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 18086233968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28654025400).

18086233968 is an abundant number, since it is smaller than the sum of its proper divisors (39221816832).

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

18086233968 is a wasteful number, since it uses less digits than its factorization.

18086233968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 18086233968 in words is "eighteen billion, eighty-six million, two hundred thirty-three thousand, nine hundred sixty-eight".