86741441361 has 27 divisors (see below), whose sum is σ = 132260241321. Its totient is φ = 54773465544.

The previous prime is 86741441333. The next prime is 86741441363. The reversal of 86741441361 is 16314414768.

The square root of 86741441361 is 294519.

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

86741441361 is a `hidden beast` number, since 86 + 74 + 1 + 441 + 3 + 61 = 666.

It is not a de Polignac number, because 86741441361 - 2¹¹ = 86741439313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86741441363) 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, 16785000 + ... + 16790166.

Almost surely, 2^86741441361 is an apocalyptic number.

86741441361 is the 294519-th square number.

86741441361 is the 147260-th centered octagonal number.

It is an amenable number.

86741441361 is a deficient number, since it is larger than the sum of its proper divisors (45518799960).

86741441361 is an frugal number, since it uses more digits than its factorization.

86741441361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10378 (or 5189 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 86741441361 in words is "eighty-six billion, seven hundred forty-one million, four hundred forty-one thousand, three hundred sixty-one".