86282144631107 has 16 divisors (see below), whose sum is σ = 88832951256192. Its totient is φ = 83757376866240.

The previous prime is 86282144631049. The next prime is 86282144631113. The reversal of 86282144631107 is 70113644128268.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 86282144631107 - 2²⁶ = 86282077522243 is a prime.

It is a super-3 number, since 3×86282144631107³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86282144631127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2166818 + ... + 13313879.

It is an arithmetic number, because the mean of its divisors is an integer number (5552059453512).

Almost surely, 2^{86282144631107} is an apocalyptic number.

86282144631107 is a deficient number, since it is larger than the sum of its proper divisors (2550806625085).

86282144631107 is a wasteful number, since it uses less digits than its factorization.

86282144631107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15481538.

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 86282144631107 in words is "eighty-six trillion, two hundred eighty-two billion, one hundred forty-four million, six hundred thirty-one thousand, one hundred seven".