8506188441 has 27 divisors (see below), whose sum is σ = 12491053887. Its totient is φ = 5578009920.

The previous prime is 8506188421. The next prime is 8506188461. The reversal of 8506188441 is 1448816058.

The square root of 8506188441 is 92229.

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

It is an interprime number because it is at equal distance from previous prime (8506188421) and next prime (8506188461).

It can be written as a sum of positive squares in only one way, i.e., 953883225 + 7552305216 = 30885^2 + 86904^2 .

It is not a de Polignac number, because 8506188441 - 2¹⁵ = 8506155673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8506188421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19644561 + ... + 19644993.

Almost surely, 2^8506188441 is an apocalyptic number.

8506188441 is the 92229-th square number.

8506188441 is the 46115-th centered octagonal number.

It is an amenable number.

8506188441 is a deficient number, since it is larger than the sum of its proper divisors (3984865446).

8506188441 is an frugal number, since it uses more digits than its factorization.

8506188441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The cubic root of 8506188441 is about 2041.3227069250.

The spelling of 8506188441 in words is "eight billion, five hundred six million, one hundred eighty-eight thousand, four hundred forty-one".