4664123541 has 96 divisors (see below), whose sum is σ = 8716720896. Its totient is φ = 2332800000.

The previous prime is 4664123449. The next prime is 4664123549. The reversal of 4664123541 is 1453214664.

4664123541 is a `hidden beast` number, since 4 + 6 + 641 + 2 + 3 + 5 + 4 + 1 = 666.

It is not a de Polignac number, because 4664123541 - 2¹⁰ = 4664122517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4664123496 and 4664123505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664123549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2588841 + ... + 2590641.

It is an arithmetic number, because the mean of its divisors is an integer number (90799176).

Almost surely, 2^4664123541 is an apocalyptic number.

It is an amenable number.

4664123541 is a deficient number, since it is larger than the sum of its proper divisors (4052597355).

4664123541 is a wasteful number, since it uses less digits than its factorization.

4664123541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1960 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4664123541 is about 68294.3887958594. The cubic root of 4664123541 is about 1670.7956982426.

It can be divided in two parts, 4664123 and 541, that added together give a palindrome (4664664).

The spelling of 4664123541 in words is "four billion, six hundred sixty-four million, one hundred twenty-three thousand, five hundred forty-one".