18083986176 has 144 divisors (see below), whose sum is σ = 48824455680. Its totient is φ = 5941678080.

The previous prime is 18083986169. The next prime is 18083986189. The reversal of 18083986176 is 67168938081.

It is a super-3 number, since 3×18083986176³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17404665 + ... + 17405703.

It is an arithmetic number, because the mean of its divisors is an integer number (339058720).

Almost surely, 2^18083986176 is an apocalyptic number.

18083986176 is a gapful number since it is divisible by the number (16) 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 18083986176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24412227840).

18083986176 is an abundant number, since it is smaller than the sum of its proper divisors (30740469504).

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

18083986176 is a wasteful number, since it uses less digits than its factorization.

18083986176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 18083986176 in words is "eighteen billion, eighty-three million, nine hundred eighty-six thousand, one hundred seventy-six".