18166107588516 has 18 divisors (see below), whose sum is σ = 45919883071062. Its totient is φ = 6055369196160.

The previous prime is 18166107588457. The next prime is 18166107588523. The reversal of 18166107588516 is 61588570166181.

18166107588516 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 6 + 107 + 5 + 8 + 8 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13195419502500 + 4970688086016 = 3632550^2 + 2229504^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×18166107588516³ (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252307049805 + ... + 252307049876.

It is an arithmetic number, because the mean of its divisors is an integer number (2551104615059).

Almost surely, 2^{18166107588516} is an apocalyptic number.

It is an amenable number.

18166107588516 is an abundant number, since it is smaller than the sum of its proper divisors (27753775482546).

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

18166107588516 is a wasteful number, since it uses less digits than its factorization.

18166107588516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504614099691 (or 504614099686 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 63.

The spelling of 18166107588516 in words is "eighteen trillion, one hundred sixty-six billion, one hundred seven million, five hundred eighty-eight thousand, five hundred sixteen".