4674118604841 has 297 divisors, whose sum is σ = 8637951002679. Its totient is φ = 2521722974400.

The previous prime is 4674118604839. The next prime is 4674118604861. The reversal of 4674118604841 is 1484068114764.

The square root of 4674118604841 is 2161971.

It is a perfect power (a square), and thus also a powerful number.

4674118604841 is a `hidden beast` number, since 4 + 6 + 74 + 11 + 86 + 0 + 484 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 225225227241 + 4448893377600 = 474579^2 + 2109240^2 .

It is not a de Polignac number, because 4674118604841 - 2¹ = 4674118604839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4674118604861) 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 296 ways as a sum of consecutive naturals, for example, 114002892781 + ... + 114002892821.

Almost surely, 2^{4674118604841} is an apocalyptic number.

4674118604841 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4674118604841 is the 2161971-st square number.

4674118604841 is the 1080986-th centered octagonal number.

It is an amenable number.

4674118604841 is a deficient number, since it is larger than the sum of its proper divisors (3963832397838).

4674118604841 is an frugal number, since it uses more digits than its factorization.

4674118604841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 4674118604841 in words is "four trillion, six hundred seventy-four billion, one hundred eighteen million, six hundred four thousand, eight hundred forty-one".