9916683220224 has 1728 divisors, whose sum is σ = 35823620431872. Its totient is φ = 2700922060800.

The previous prime is 9916683220211. The next prime is 9916683220231. The reversal of 9916683220224 is 4220223866199.

9916683220224 is a `hidden beast` number, since 9 + 91 + 6 + 6 + 8 + 322 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×9916683220224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38586315904 + ... + 38586316160.

It is an arithmetic number, because the mean of its divisors is an integer number (20731261824).

Almost surely, 2^{9916683220224} 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 9916683220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911810215936).

9916683220224 is an abundant number, since it is smaller than the sum of its proper divisors (25906937211648).

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

9916683220224 is a wasteful number, since it uses less digits than its factorization.

9916683220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 9916683220224 in words is "nine trillion, nine hundred sixteen billion, six hundred eighty-three million, two hundred twenty thousand, two hundred twenty-four".