86282886546441 has 48 divisors (see below), whose sum is σ = 139192136254080. Its totient is φ = 53095908862080.

The previous prime is 86282886546379. The next prime is 86282886546487. The reversal of 86282886546441 is 14464568828268.

It is a happy number.

86282886546441 is a `hidden beast` number, since 8 + 6 + 2 + 8 + 2 + 88 + 65 + 46 + 441 = 666.

It is not a de Polignac number, because 86282886546441 - 2¹⁸ = 86282886284297 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86282886546441.

It is not an unprimeable number, because it can be changed into a prime (86282886546641) 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, 143880700 + ... + 144479138.

It is an arithmetic number, because the mean of its divisors is an integer number (2899836171960).

Almost surely, 2^{86282886546441} is an apocalyptic number.

86282886546441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

86282886546441 is a deficient number, since it is larger than the sum of its proper divisors (52909249707639).

86282886546441 is a wasteful number, since it uses less digits than its factorization.

86282886546441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644108 (or 644096 counting only the distinct ones).

The product of its digits is 1132462080, while the sum is 72.

The spelling of 86282886546441 in words is "eighty-six trillion, two hundred eighty-two billion, eight hundred eighty-six million, five hundred forty-six thousand, four hundred forty-one".