4143646368 has 240 divisors, whose sum is σ = 12988128384. Its totient is φ = 1291438080.

The previous prime is 4143646363. The next prime is 4143646373. The reversal of 4143646368 is 8636463414.

It is a happy number.

4143646368 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 6 + 4 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4143646363) and next prime (4143646373).

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

It is not an unprimeable number, because it can be changed into a prime (4143646363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11941171 + ... + 11941517.

Almost surely, 2^4143646368 is an apocalyptic number.

4143646368 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 4143646368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494064192).

4143646368 is an abundant number, since it is smaller than the sum of its proper divisors (8844482016).

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

4143646368 is a wasteful number, since it uses less digits than its factorization.

4143646368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 4143646368 is about 64371.1609962101. The cubic root of 4143646368 is about 1606.1800527752.

The spelling of 4143646368 in words is "four billion, one hundred forty-three million, six hundred forty-six thousand, three hundred sixty-eight".