18082407168 has 288 divisors, whose sum is σ = 63772800000. Its totient is φ = 4941471744.

The previous prime is 18082407139. The next prime is 18082407251. The reversal of 18082407168 is 86170428081.

18082407168 is a `hidden beast` number, since 1 + 8 + 0 + 82 + 407 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1104708 + ... + 1120956.

Almost surely, 2^18082407168 is an apocalyptic number.

18082407168 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 18082407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31886400000).

18082407168 is an abundant number, since it is smaller than the sum of its proper divisors (45690392832).

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

18082407168 is a wasteful number, since it uses less digits than its factorization.

18082407168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16304 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 18082407168 in words is "eighteen billion, eighty-two million, four hundred seven thousand, one hundred sixty-eight".