4016649168 has 240 divisors, whose sum is σ = 13846494720. Its totient is φ = 1110412800.

The previous prime is 4016649163. The next prime is 4016649179. The reversal of 4016649168 is 8619466104.

4016649168 is a `hidden beast` number, since 40 + 1 + 66 + 491 + 68 = 666.

It is a super-2 number, since 2×4016649168² = 32266941077590184448, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016649163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653148 + ... + 659268.

It is an arithmetic number, because the mean of its divisors is an integer number (57693728).

Almost surely, 2^4016649168 is an apocalyptic number.

4016649168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016649168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923247360).

4016649168 is an abundant number, since it is smaller than the sum of its proper divisors (9829845552).

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

4016649168 is a wasteful number, since it uses less digits than its factorization.

4016649168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6164 counting only the distinct ones).

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

The square root of 4016649168 is about 63377.0397541570. The cubic root of 4016649168 is about 1589.6004122247.

The spelling of 4016649168 in words is "four billion, sixteen million, six hundred forty-nine thousand, one hundred sixty-eight".