3661166044116 has 144 divisors (see below), whose sum is σ = 10602678812544. Its totient is φ = 1043481212928.

The previous prime is 3661166044099. The next prime is 3661166044139. The reversal of 3661166044116 is 6114406611663.

3661166044116 is a `hidden beast` number, since 3 + 66 + 116 + 60 + 4 + 411 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199476796 + ... + 199495148.

It is an arithmetic number, because the mean of its divisors is an integer number (73629713976).

Almost surely, 2^{3661166044116} is an apocalyptic number.

3661166044116 is a gapful number since it is divisible by the number (36) 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 3661166044116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301339406272).

3661166044116 is an abundant number, since it is smaller than the sum of its proper divisors (6941512768428).

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

3661166044116 is a wasteful number, since it uses less digits than its factorization.

3661166044116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20270 (or 20265 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3661166044116 in words is "three trillion, six hundred sixty-one billion, one hundred sixty-six million, forty-four thousand, one hundred sixteen".