86282711468821 has 48 divisors (see below), whose sum is σ = 110372411905200. Its totient is φ = 66964014931968.

The previous prime is 86282711468801. The next prime is 86282711468843. The reversal of 86282711468821 is 12886411728268.

It can be written as a sum of positive squares in 8 ways, for example, as 1257899076721 + 85024812392100 = 1121561^2 + 9220890^2 .

It is not a de Polignac number, because 86282711468821 - 2¹⁷ = 86282711337749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86282711468801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12984336 + ... + 18470473.

It is an arithmetic number, because the mean of its divisors is an integer number (2299425248025).

Almost surely, 2^{86282711468821} is an apocalyptic number.

It is an amenable number.

86282711468821 is a deficient number, since it is larger than the sum of its proper divisors (24089700436379).

86282711468821 is a wasteful number, since it uses less digits than its factorization.

86282711468821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31454966 (or 31454959 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 64.

The spelling of 86282711468821 in words is "eighty-six trillion, two hundred eighty-two billion, seven hundred eleven million, four hundred sixty-eight thousand, eight hundred twenty-one".