2016845568 has 252 divisors, whose sum is σ = 6152689368. Its totient is φ = 659404800.

The previous prime is 2016845563. The next prime is 2016845569. The reversal of 2016845568 is 8655486102.

2016845568 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 84 + 5 + 568 = 666.

It is a super-2 number, since 2×2016845568² = 8135332090322485248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016845563) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18848971 + ... + 18849077.

It is an arithmetic number, because the mean of its divisors is an integer number (24415434).

Almost surely, 2^2016845568 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 2016845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076344684).

2016845568 is an abundant number, since it is smaller than the sum of its proper divisors (4135843800).

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

2016845568 is an equidigital number, since it uses as much as digits as its factorization.

2016845568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2016845568 is about 44909.3038022190. The cubic root of 2016845568 is about 1263.4485122897.

The spelling of 2016845568 in words is "two billion, sixteen million, eight hundred forty-five thousand, five hundred sixty-eight".