86751359749681 has 27 divisors (see below), whose sum is σ = 95809550835243. Its totient is φ = 78490541191920.

The previous prime is 86751359749679. The next prime is 86751359749687. The reversal of 86751359749681 is 18694795315768.

The square root of 86751359749681 is 9314041.

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

It can be written as a sum of positive squares in only one way, i.e., 1138606373025 + 85612753376656 = 1067055^2 + 9252716^2 .

It is not a de Polignac number, because 86751359749681 - 2¹ = 86751359749679 is a prime.

It is a super-2 number, since 2×86751359749681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86751359749687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22847340675 + ... + 22847344471.

Almost surely, 2^{86751359749681} is an apocalyptic number.

86751359749681 is the 9314041-st square number.

86751359749681 is the 4657021-st centered octagonal number.

It is an amenable number.

86751359749681 is a deficient number, since it is larger than the sum of its proper divisors (9058191085562).

86751359749681 is an frugal number, since it uses more digits than its factorization.

86751359749681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 4031 counting only the distinct ones).

The product of its digits is 2743372800, while the sum is 79.

The spelling of 86751359749681 in words is "eighty-six trillion, seven hundred fifty-one billion, three hundred fifty-nine million, seven hundred forty-nine thousand, six hundred eighty-one".