86306333829 has 48 divisors (see below), whose sum is σ = 120937525632. Its totient is φ = 54727425792.

The previous prime is 86306333821. The next prime is 86306333863. The reversal of 86306333829 is 92833360368.

It is not a de Polignac number, because 86306333829 - 2³ = 86306333821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86306333821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81190752 + ... + 81191814.

It is an arithmetic number, because the mean of its divisors is an integer number (2519531784).

Almost surely, 2^86306333829 is an apocalyptic number.

It is an amenable number.

86306333829 is a deficient number, since it is larger than the sum of its proper divisors (34631191803).

86306333829 is a wasteful number, since it uses less digits than its factorization.

86306333829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 86306333829 in words is "eighty-six billion, three hundred six million, three hundred thirty-three thousand, eight hundred twenty-nine".