4841319168 has 648 divisors, whose sum is σ = 17842035120. Its totient is φ = 1254113280.

The previous prime is 4841319139. The next prime is 4841319173. The reversal of 4841319168 is 8619131484.

4841319168 is a `hidden beast` number, since 48 + 413 + 191 + 6 + 8 = 666.

It is a super-3 number, since 3×4841319168³ (a number of 30 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 79365858 + ... + 79365918.

Almost surely, 2^4841319168 is an apocalyptic number.

4841319168 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 4841319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8921017560).

4841319168 is an abundant number, since it is smaller than the sum of its proper divisors (13000715952).

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

4841319168 is a wasteful number, since it uses less digits than its factorization.

4841319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 4841319168 is about 69579.5887311789. The cubic root of 4841319168 is about 1691.6917769294.

The spelling of 4841319168 in words is "four billion, eight hundred forty-one million, three hundred nineteen thousand, one hundred sixty-eight".