4164856875 has 60 divisors (see below), whose sum is σ = 7701253560. Its totient is φ = 2166960000.

The previous prime is 4164856811. The next prime is 4164856901. The reversal of 4164856875 is 5786584614.

4164856875 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 8 + 568 + 75 = 666.

It is not a de Polignac number, because 4164856875 - 2⁶ = 4164856811 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 221596 + ... + 239654.

It is an arithmetic number, because the mean of its divisors is an integer number (128354226).

Almost surely, 2^4164856875 is an apocalyptic number.

4164856875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4164856875 is a deficient number, since it is larger than the sum of its proper divisors (3536396685).

4164856875 is a wasteful number, since it uses less digits than its factorization.

4164856875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18126 (or 18108 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 4164856875 is about 64535.7023282462. The cubic root of 4164856875 is about 1608.9159626509.

The spelling of 4164856875 in words is "four billion, one hundred sixty-four million, eight hundred fifty-six thousand, eight hundred seventy-five".