86075568846864 has 135 divisors (see below), whose sum is σ = 242046935356863. Its totient is φ = 28554954659136.

The previous prime is 86075568846829. The next prime is 86075568846881. The reversal of 86075568846864 is 46864886557068.

The square root of 86075568846864 is 9277692.

It is a perfect power (a square), and thus also a powerful number.

86075568846864 is a `hidden beast` number, since 8 + 6 + 0 + 7 + 5 + 568 + 8 + 46 + 8 + 6 + 4 = 666.

It is a super-4 number, since 4×86075568846864⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24827102059 + ... + 24827105525.

Almost surely, 2^{86075568846864} is an apocalyptic number.

86075568846864 is the 9277692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86075568846864

86075568846864 is an abundant number, since it is smaller than the sum of its proper divisors (155971366509999).

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

86075568846864 is an frugal number, since it uses more digits than its factorization.

86075568846864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 14863564800, while the sum is 81.

The spelling of 86075568846864 in words is "eighty-six trillion, seventy-five billion, five hundred sixty-eight million, eight hundred forty-six thousand, eight hundred sixty-four".