86181061581 has 24 divisors (see below), whose sum is σ = 126679606560. Its totient is φ = 56441894496.

The previous prime is 86181061579. The next prime is 86181061601. The reversal of 86181061581 is 18516018168.

It is a happy number.

86181061581 is a `hidden beast` number, since 8 + 6 + 1 + 8 + 1 + 0 + 61 + 581 = 666.

It is not a de Polignac number, because 86181061581 - 2¹ = 86181061579 is a prime.

It is a super-2 number, since 2×86181061581² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86181061541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738430 + ... + 847136.

It is an arithmetic number, because the mean of its divisors is an integer number (5278316940).

Almost surely, 2^86181061581 is an apocalyptic number.

It is an amenable number.

86181061581 is a deficient number, since it is larger than the sum of its proper divisors (40498544979).

86181061581 is a wasteful number, since it uses less digits than its factorization.

86181061581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110265 (or 110262 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 86181061581 in words is "eighty-six billion, one hundred eighty-one million, sixty-one thousand, five hundred eighty-one".