18186071379168 has 768 divisors, whose sum is σ = 63741700915200. Its totient is φ = 4400683499520.

The previous prime is 18186071379149. The next prime is 18186071379233. The reversal of 18186071379168 is 86197317068181.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 18186071379099 and 18186071379108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1093364580 + ... + 1093381212.

It is an arithmetic number, because the mean of its divisors is an integer number (82997006400).

Almost surely, 2^{18186071379168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18186071379168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31870850457600).

18186071379168 is an abundant number, since it is smaller than the sum of its proper divisors (45555629536032).

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

18186071379168 is a wasteful number, since it uses less digits than its factorization.

18186071379168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16855 (or 16847 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 66.

The spelling of 18186071379168 in words is "eighteen trillion, one hundred eighty-six billion, seventy-one million, three hundred seventy-nine thousand, one hundred sixty-eight".