18086317200 has 240 divisors, whose sum is σ = 73570469760. Its totient is φ = 4133998080.

The previous prime is 18086317181. The next prime is 18086317201. The reversal of 18086317200 is 271368081.

18086317200 is a `hidden beast` number, since 18 + 0 + 8 + 631 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×18086317200² (a number of 21 digits) contains 22 as substring.

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 (18086317201) 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 47 ways as a sum of consecutive naturals, for example, 44019 + ... + 195218.

It is an arithmetic number, because the mean of its divisors is an integer number (306543624).

Almost surely, 2^18086317200 is an apocalyptic number.

18086317200 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 18086317200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36785234880).

18086317200 is an abundant number, since it is smaller than the sum of its proper divisors (55484152560).

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

18086317200 is a wasteful number, since it uses less digits than its factorization.

18086317200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239271 (or 239254 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18086317200 in words is "eighteen billion, eighty-six million, three hundred seventeen thousand, two hundred".