4168242383616 has 216 divisors, whose sum is σ = 12730885942320. Its totient is φ = 1307080654848.

The previous prime is 4168242383597. The next prime is 4168242383677. The reversal of 4168242383616 is 6163832428614.

4168242383616 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 242 + 38 + 361 + 6 = 666.

4168242383616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 89005455 + ... + 89052273.

It is an arithmetic number, because the mean of its divisors is an integer number (58939286770).

Almost surely, 2^{4168242383616} 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 4168242383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365442971160).

4168242383616 is an abundant number, since it is smaller than the sum of its proper divisors (8562643558704).

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

4168242383616 is a wasteful number, since it uses less digits than its factorization.

4168242383616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49131 (or 49114 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 4168242383616 in words is "four trillion, one hundred sixty-eight billion, two hundred forty-two million, three hundred eighty-three thousand, six hundred sixteen".