4114635168 has 96 divisors (see below), whose sum is σ = 12517908480. Its totient is φ = 1159038720.

The previous prime is 4114635139. The next prime is 4114635169. The reversal of 4114635168 is 8615364114.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4114635169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4593 + ... + 90831.

It is an arithmetic number, because the mean of its divisors is an integer number (130394880).

Almost surely, 2^4114635168 is an apocalyptic number.

4114635168 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 4114635168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258954240).

4114635168 is an abundant number, since it is smaller than the sum of its proper divisors (8403273312).

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

4114635168 is a wasteful number, since it uses less digits than its factorization.

4114635168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86330 (or 86322 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 4114635168 is about 64145.4220346238. The cubic root of 4114635168 is about 1602.4227836396.

The spelling of 4114635168 in words is "four billion, one hundred fourteen million, six hundred thirty-five thousand, one hundred sixty-eight".