86343755734368 has 288 divisors, whose sum is σ = 277226305574400. Its totient is φ = 25250888678400.

The previous prime is 86343755734367. The next prime is 86343755734391.

86343755734368 is a `hidden beast` number, since 8 + 6 + 3 + 4 + 3 + 7 + 5 + 573 + 43 + 6 + 8 = 666.

86343755734368 is nontrivially palindromic in base 10.

86343755734368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86343755734296 and 86343755734305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86343755734367) 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, 199973433 + ... + 200404743.

It is an arithmetic number, because the mean of its divisors is an integer number (962591338800).

Almost surely, 2^{86343755734368} is an apocalyptic number.

86343755734368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86343755734368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138613152787200).

86343755734368 is an abundant number, since it is smaller than the sum of its proper divisors (190882549840032).

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

86343755734368 is a wasteful number, since it uses less digits than its factorization.

86343755734368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433546 (or 433535 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 86343755734368 in words is "eighty-six trillion, three hundred forty-three billion, seven hundred fifty-five million, seven hundred thirty-four thousand, three hundred sixty-eight".