4666182110001 has 12 divisors (see below), whose sum is σ = 6747234051012. Its totient is φ = 3107468123136.

The previous prime is 4666182109973. The next prime is 4666182110017. The reversal of 4666182110001 is 1000112816664.

It can be written as a sum of positive squares in 2 ways, for example, as 478101719601 + 4188080390400 = 691449^2 + 2046480^2 .

It is not a de Polignac number, because 4666182110001 - 2⁵ = 4666182109969 is a prime.

It is a super-3 number, since 3×4666182110001³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4666182110501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276653616 + ... + 276670481.

It is an arithmetic number, because the mean of its divisors is an integer number (562269504251).

Almost surely, 2^{4666182110001} is an apocalyptic number.

It is an amenable number.

4666182110001 is a deficient number, since it is larger than the sum of its proper divisors (2081051941011).

4666182110001 is a wasteful number, since it uses less digits than its factorization.

4666182110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553325040 (or 553325037 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 4666182110001 its reverse (1000112816664), we get a palindrome (5666294926665).

The spelling of 4666182110001 in words is "four trillion, six hundred sixty-six billion, one hundred eighty-two million, one hundred ten thousand, one".