4446661216600 has 96 divisors (see below), whose sum is σ = 10696844934000. Its totient is φ = 1717032880640.

The previous prime is 4446661216589. The next prime is 4446661216633. The reversal of 4446661216600 is 66121666444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34904619 + ... + 35031781.

Almost surely, 2^{4446661216600} is an apocalyptic number.

4446661216600 is a gapful number since it is divisible by the number (40) 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 4446661216600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348422467000).

4446661216600 is an abundant number, since it is smaller than the sum of its proper divisors (6250183717400).

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

4446661216600 is a wasteful number, since it uses less digits than its factorization.

4446661216600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133237 (or 133228 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 4446661216600 in words is "four trillion, four hundred forty-six billion, six hundred sixty-one million, two hundred sixteen thousand, six hundred".