4153566816 has 192 divisors, whose sum is σ = 13891046400. Its totient is φ = 1182809088.

The previous prime is 4153566779. The next prime is 4153566817. The reversal of 4153566816 is 6186653514.

4153566816 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 566 + 81 + 6 = 666.

4153566816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153566817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2170276 + ... + 2172188.

It is an arithmetic number, because the mean of its divisors is an integer number (72349200).

Almost surely, 2^4153566816 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 4153566816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945523200).

4153566816 is an abundant number, since it is smaller than the sum of its proper divisors (9737479584).

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

4153566816 is a wasteful number, since it uses less digits than its factorization.

4153566816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2284 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 4153566816 is about 64448.1715489276. The cubic root of 4153566816 is about 1607.4608350538.

The spelling of 4153566816 in words is "four billion, one hundred fifty-three million, five hundred sixty-six thousand, eight hundred sixteen".