9616168224 has 144 divisors (see below), whose sum is σ = 29515135104. Its totient is φ = 2952230400.

The previous prime is 9616168207. The next prime is 9616168231. The reversal of 9616168224 is 4228616169.

9616168224 is a `hidden beast` number, since 9 + 6 + 1 + 616 + 8 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9616168224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1835689 + ... + 1840919.

It is an arithmetic number, because the mean of its divisors is an integer number (204966216).

Almost surely, 2^9616168224 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 9616168224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757567552).

9616168224 is an abundant number, since it is smaller than the sum of its proper divisors (19898966880).

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

9616168224 is a wasteful number, since it uses less digits than its factorization.

9616168224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751 (or 5740 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 9616168224 is about 98062.0631233098. The cubic root of 9616168224 is about 2126.5096151202.

The spelling of 9616168224 in words is "nine billion, six hundred sixteen million, one hundred sixty-eight thousand, two hundred twenty-four".