86313177131368 has 48 divisors (see below), whose sum is σ = 177922061254980. Its totient is φ = 39225568800000.

The previous prime is 86313177131323. The next prime is 86313177131369.

It is a happy number.

86313177131368 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 71060887376644 + 15252289754724 = 8429762^2 + 3905418^2 .

It is not an unprimeable number, because it can be changed into a prime (86313177131369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3802333 + ... + 13677868.

Almost surely, 2^{86313177131368} is an apocalyptic number.

86313177131368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86313177131368 is an abundant number, since it is smaller than the sum of its proper divisors (91608884123612).

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

86313177131368 is a wasteful number, since it uses less digits than its factorization.

86313177131368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17485330 (or 17485315 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 58.

The spelling of 86313177131368 in words is "eighty-six trillion, three hundred thirteen billion, one hundred seventy-seven million, one hundred thirty-one thousand, three hundred sixty-eight".