18380186365968 has 320 divisors, whose sum is σ = 60426203904000. Its totient is φ = 5240047873536.

The previous prime is 18380186365909. The next prime is 18380186366053. The reversal of 18380186365968 is 86956368108381.

It is a happy number.

18380186365968 is a `hidden beast` number, since 1 + 8 + 3 + 80 + 186 + 365 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18380186365896 and 18380186365905.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5557962171 + ... + 5557965477.

It is an arithmetic number, because the mean of its divisors is an integer number (188831887200).

Almost surely, 2^{18380186365968} is an apocalyptic number.

18380186365968 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 18380186365968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213101952000).

18380186365968 is an abundant number, since it is smaller than the sum of its proper divisors (42046017538032).

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

18380186365968 is a wasteful number, since it uses less digits than its factorization.

18380186365968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 18380186365968 in words is "eighteen trillion, three hundred eighty billion, one hundred eighty-six million, three hundred sixty-five thousand, nine hundred sixty-eight".