86329017124 has 81 divisors (see below), whose sum is σ = 181861786449. Its totient is φ = 35751774240.

The previous prime is 86329017113. The next prime is 86329017191. The reversal of 86329017124 is 42171092368.

The square root of 86329017124 is 293818.

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

It can be written as a sum of positive squares in only one way, i.e., 85819702500 + 509314624 = 292950^2 + 22568^2 .

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, 127516674 + ... + 127517350.

Almost surely, 2^86329017124 is an apocalyptic number.

86329017124 is the 293818-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86329017124

86329017124 is an abundant number, since it is smaller than the sum of its proper divisors (95532769325).

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

86329017124 is an equidigital number, since it uses as much as digits as its factorization.

86329017124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 86329017124 in words is "eighty-six billion, three hundred twenty-nine million, seventeen thousand, one hundred twenty-four".