8904082928841 has 9 divisors (see below), whose sum is σ = 12861466049991. Its totient is φ = 5936049317952.

The previous prime is 8904082928747. The next prime is 8904082928861. The reversal of 8904082928841 is 1488292804098.

The square root of 8904082928841 is 2983971.

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

8904082928841 is a `hidden beast` number, since 8 + 90 + 408 + 29 + 2 + 88 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7021413542025 + 1882669386816 = 2649795^2 + 1372104^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8904082928841 - 2³³ = 8895492994249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8904082928861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8454585 + ... + 9449241.

Almost surely, 2^{8904082928841} is an apocalyptic number.

8904082928841 is the 2983971-st square number.

8904082928841 is the 1491986-th centered octagonal number.

It is an amenable number.

8904082928841 is a deficient number, since it is larger than the sum of its proper divisors (3957383121150).

8904082928841 is an frugal number, since it uses more digits than its factorization.

8904082928841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989320 (or 994660 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 8904082928841 in words is "eight trillion, nine hundred four billion, eighty-two million, nine hundred twenty-eight thousand, eight hundred forty-one".