841808085001 has 45 divisors (see below), whose sum is σ = 937685971833. Its totient is φ = 755727223680.

The previous prime is 841808084981. The next prime is 841808085007. The reversal of 841808085001 is 100580808148.

The square root of 841808085001 is 917501.

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

It can be written as a sum of positive squares in 22 ways, for example, as 17888795001 + 823919290000 = 133749^2 + 907700^2 .

It is not a de Polignac number, because 841808085001 - 2⁵ = 841808084969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (841808085007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9458517765 + ... + 9458517853.

Almost surely, 2^841808085001 is an apocalyptic number.

841808085001 is the 917501-st square number.

841808085001 is the 458751-st centered octagonal number.

It is an amenable number.

841808085001 is a deficient number, since it is larger than the sum of its proper divisors (95877886832).

841808085001 is an frugal number, since it uses more digits than its factorization.

841808085001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 43.

The spelling of 841808085001 in words is "eight hundred forty-one billion, eight hundred eight million, eighty-five thousand, one".