86129336484 has 81 divisors (see below), whose sum is σ = 223342691299. Its totient is φ = 27986062080.

The previous prime is 86129336479. The next prime is 86129336519. The reversal of 86129336484 is 48463392168.

The square root of 86129336484 is 293478.

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

86129336484 is a `hidden beast` number, since 8 + 6 + 129 + 3 + 36 + 484 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23565320100 + 62564016384 = 153510^2 + 250128^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86129336484.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72194992 + ... + 72196184.

Almost surely, 2^86129336484 is an apocalyptic number.

86129336484 is the 293478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86129336484

86129336484 is an abundant number, since it is smaller than the sum of its proper divisors (137213354815).

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

86129336484 is a wasteful number, since it uses less digits than its factorization.

86129336484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 1239 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 86129336484 in words is "eighty-six billion, one hundred twenty-nine million, three hundred thirty-six thousand, four hundred eighty-four".