186807964108441 has 27 divisors (see below), whose sum is σ = 202991949229149. Its totient is φ = 171836028067392.

The previous prime is 186807964108433. The next prime is 186807964108463. The reversal of 186807964108441 is 144801469708681.

The square root of 186807964108441 is 13667771.

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

It can be written as a sum of positive squares in 4 ways, for example, as 147773709000841 + 39034255107600 = 12156221^2 + 6247740^2 .

It is not a de Polignac number, because 186807964108441 - 2³ = 186807964108433 is a prime.

It is a super-3 number, since 3×186807964108441³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (186807964108421) 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, 55614158520 + ... + 55614161878.

Almost surely, 2^{186807964108441} is an apocalyptic number.

186807964108441 is the 13667771-st square number.

186807964108441 is the 6833886-th centered octagonal number.

It is an amenable number.

186807964108441 is a deficient number, since it is larger than the sum of its proper divisors (16183985120708).

186807964108441 is an frugal number, since it uses more digits than its factorization.

186807964108441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 67.

The spelling of 186807964108441 in words is "one hundred eighty-six trillion, eight hundred seven billion, nine hundred sixty-four million, one hundred eight thousand, four hundred forty-one".