9946211616 has 432 divisors, whose sum is σ = 33337440864. Its totient is φ = 2916777600.

The previous prime is 9946211603. The next prime is 9946211623. The reversal of 9946211616 is 6161126499.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9946211616 is a `hidden beast` number, since 9 + 9 + 4 + 6 + 21 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320845521 + ... + 320845551.

It is an arithmetic number, because the mean of its divisors is an integer number (77170002).

Almost surely, 2^9946211616 is an apocalyptic number.

9946211616 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 9946211616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668720432).

9946211616 is an abundant number, since it is smaller than the sum of its proper divisors (23391229248).

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

9946211616 is an equidigital number, since it uses as much as digits as its factorization.

9946211616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 47 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9946211616 is about 99730.6954553110. The cubic root of 9946211616 is about 2150.5649581484.

The spelling of 9946211616 in words is "nine billion, nine hundred forty-six million, two hundred eleven thousand, six hundred sixteen".