4159349568 has 224 divisors, whose sum is σ = 13452165120. Its totient is φ = 1249758720.

The previous prime is 4159349567. The next prime is 4159349569. The reversal of 4159349568 is 8659439514.

4159349568 is a `hidden beast` number, since 4 + 1 + 5 + 93 + 495 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (4159349567) and next prime (4159349569).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4159349567) 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 31 ways as a sum of consecutive naturals, for example, 2413155 + ... + 2414877.

Almost surely, 2^4159349568 is an apocalyptic number.

4159349568 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 4159349568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726082560).

4159349568 is an abundant number, since it is smaller than the sum of its proper divisors (9292815552).

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

4159349568 is a wasteful number, since it uses less digits than its factorization.

4159349568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1866 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 4159349568 is about 64493.0195292483. The cubic root of 4159349568 is about 1608.2064782751.

The spelling of 4159349568 in words is "four billion, one hundred fifty-nine million, three hundred forty-nine thousand, five hundred sixty-eight".