8089101441 has 12 divisors (see below), whose sum is σ = 11685086868. Its totient is φ = 5392351584.

The previous prime is 8089101373. The next prime is 8089101473. The reversal of 8089101441 is 1441019808.

It can be written as a sum of positive squares in 2 ways, for example, as 203661441 + 7885440000 = 14271^2 + 88800^2 .

It is not a de Polignac number, because 8089101441 - 2¹⁰ = 8089100417 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8089101396 and 8089101405.

It is not an unprimeable number, because it can be changed into a prime (8089101941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167731 + ... + 210503.

It is an arithmetic number, because the mean of its divisors is an integer number (973757239).

Almost surely, 2^8089101441 is an apocalyptic number.

It is an amenable number.

8089101441 is a deficient number, since it is larger than the sum of its proper divisors (3595985427).

8089101441 is a wasteful number, since it uses less digits than its factorization.

8089101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63792 (or 63789 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8089101441 is about 89939.4320695878. The cubic root of 8089101441 is about 2007.3977231916.

The spelling of 8089101441 in words is "eight billion, eighty-nine million, one hundred one thousand, four hundred forty-one".