9996966038016 has 320 divisors, whose sum is σ = 31524532300800. Its totient is φ = 3118894460928.

The previous prime is 9996966037999. The next prime is 9996966038023. The reversal of 9996966038016 is 6108306696999.

9996966038016 is a `hidden beast` number, since 9 + 9 + 9 + 6 + 9 + 6 + 603 + 8 + 0 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21571165 + ... + 22029731.

It is an arithmetic number, because the mean of its divisors is an integer number (98514163440).

Almost surely, 2^{9996966038016} is an apocalyptic number.

9996966038016 is a gapful number since it is divisible by the number (96) 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 9996966038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762266150400).

9996966038016 is an abundant number, since it is smaller than the sum of its proper divisors (21527566262784).

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

9996966038016 is a wasteful number, since it uses less digits than its factorization.

9996966038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458696 (or 458674 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 9996966038016 in words is "nine trillion, nine hundred ninety-six billion, nine hundred sixty-six million, thirty-eight thousand, sixteen".