86344577544368 has 80 divisors (see below), whose sum is σ = 196541608032000. Its totient is φ = 36228120311040.

The previous prime is 86344577544361. The next prime is 86344577544437.

86344577544368 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86344577544295 and 86344577544304.

It is not an unprimeable number, because it can be changed into a prime (86344577544361) 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, 416538893 + ... + 416746131.

It is an arithmetic number, because the mean of its divisors is an integer number (2456770100400).

Almost surely, 2^{86344577544368} is an apocalyptic number.

86344577544368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86344577544368 is an abundant number, since it is smaller than the sum of its proper divisors (110197030487632).

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

86344577544368 is a wasteful number, since it uses less digits than its factorization.

86344577544368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389370 (or 389364 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 74.

The spelling of 86344577544368 in words is "eighty-six trillion, three hundred forty-four billion, five hundred seventy-seven million, five hundred forty-four thousand, three hundred sixty-eight".