109583650904841 has 81 divisors (see below), whose sum is σ = 171072334213677. Its totient is φ = 67585347149040.

The previous prime is 109583650904821. The next prime is 109583650904963. The reversal of 109583650904841 is 148409056385901.

The square root of 109583650904841 is 10468221.

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

109583650904841 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 8 + 3 + 65 + 0 + 90 + 484 + 1 = 666.

It is not a de Polignac number, because 109583650904841 - 2⁵ = 109583650904809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (109583650904821) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25657607536 + ... + 25657611806.

Almost surely, 2^{109583650904841} is an apocalyptic number.

109583650904841 is the 10468221-st square number.

109583650904841 is the 5234111-st centered octagonal number.

It is an amenable number.

109583650904841 is a deficient number, since it is larger than the sum of its proper divisors (61488683308836).

109583650904841 is an frugal number, since it uses more digits than its factorization.

109583650904841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8672 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 109583650904841 in words is "one hundred nine trillion, five hundred eighty-three billion, six hundred fifty million, nine hundred four thousand, eight hundred forty-one".