8186449441 has 9 divisors (see below), whose sum is σ = 8249817459. Its totient is φ = 8123566536.

The previous prime is 8186449423. The next prime is 8186449487. The reversal of 8186449441 is 1449446818.

The square root of 8186449441 is 90479.

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

It can be written as a sum of positive squares in only one way, i.e., 7446827025 + 739622416 = 86295^2 + 27196^2 .

It is not a de Polignac number, because 8186449441 - 2⁹ = 8186448929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8186449741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15652606 + ... + 15653128.

Almost surely, 2^8186449441 is an apocalyptic number.

8186449441 is the 90479-th square number.

8186449441 is the 45240-th centered octagonal number.

It is an amenable number.

8186449441 is a deficient number, since it is larger than the sum of its proper divisors (63368018).

8186449441 is an frugal number, since it uses more digits than its factorization.

8186449441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 696 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The cubic root of 8186449441 is about 2015.4182862012.

Multiplying 8186449441 by its sum of digits (49), we get a square (401136022609 = 633353²).

The spelling of 8186449441 in words is "eight billion, one hundred eighty-six million, four hundred forty-nine thousand, four hundred forty-one".