18345906804168 has 256 divisors, whose sum is σ = 52320183552000. Its totient is φ = 5954433120000.

The previous prime is 18345906804163. The next prime is 18345906804179. The reversal of 18345906804168 is 86140860954381.

18345906804168 is a `hidden beast` number, since 1 + 8 + 3 + 459 + 0 + 6 + 80 + 41 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (18345906804163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578956821 + ... + 578988507.

It is an arithmetic number, because the mean of its divisors is an integer number (204375717000).

Almost surely, 2^{18345906804168} is an apocalyptic number.

18345906804168 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 18345906804168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26160091776000).

18345906804168 is an abundant number, since it is smaller than the sum of its proper divisors (33974276747832).

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

18345906804168 is a wasteful number, since it uses less digits than its factorization.

18345906804168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32193 (or 32183 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 18345906804168 in words is "eighteen trillion, three hundred forty-five billion, nine hundred six million, eight hundred four thousand, one hundred sixty-eight".