86185823111424 has 729 divisors, whose sum is σ = 273507333191001. Its totient is φ = 26095175516160.

The previous prime is 86185823111383. The next prime is 86185823111471. The reversal of 86185823111424 is 42411132858168.

The square root of 86185823111424 is 9283632.

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

86185823111424 is a `hidden beast` number, since 8 + 6 + 1 + 8 + 582 + 3 + 1 + 11 + 42 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67099689273600 + 19086133837824 = 8191440^2 + 4368768^2 .

It is a super-2 number, since 2×86185823111424² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 234838754889 + ... + 234838755255.

Almost surely, 2^{86185823111424} is an apocalyptic number.

86185823111424 is the 9283632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86185823111424

86185823111424 is an abundant number, since it is smaller than the sum of its proper divisors (187321510079577).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86185823111424 is an equidigital number, since it uses as much as digits as its factorization.

86185823111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 420 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 86185823111424 in words is "eighty-six trillion, one hundred eighty-five billion, eight hundred twenty-three million, one hundred eleven thousand, four hundred twenty-four".