8946664450416 has 1800 divisors, whose sum is σ = 34602261469776. Its totient is φ = 2206403297280.

The previous prime is 8946664450393. The next prime is 8946664450483. The reversal of 8946664450416 is 6140544666498.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 359 ways as a sum of consecutive naturals, for example, 56985123810 + ... + 56985123966.

Almost surely, 2^{8946664450416} 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 8946664450416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301130734888).

8946664450416 is an abundant number, since it is smaller than the sum of its proper divisors (25655597019360).

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

8946664450416 is a wasteful number, since it uses less digits than its factorization.

8946664450416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 8946664450416 in words is "eight trillion, nine hundred forty-six billion, six hundred sixty-four million, four hundred fifty thousand, four hundred sixteen".