86502456769 has 9 divisors (see below), whose sum is σ = 88914733257. Its totient is φ = 84153964464.

The previous prime is 86502456751. The next prime is 86502456811. The reversal of 86502456769 is 96765420568.

The square root of 86502456769 is 294113.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15273252225 + 71229204544 = 123585^2 + 266888^2 .

It is not a de Polignac number, because 86502456769 - 2⁵ = 86502456737 is a prime.

It is a super-2 number, since 2×86502456769² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86502456569) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 10878207 + ... + 10886155.

Almost surely, 2^86502456769 is an apocalyptic number.

86502456769 is the 294113-rd square number.

86502456769 is the 147057-th centered octagonal number.

It is an amenable number.

86502456769 is a deficient number, since it is larger than the sum of its proper divisors (2412276488).

86502456769 is an frugal number, since it uses more digits than its factorization.

86502456769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15972 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 86502456769 in words is "eighty-six billion, five hundred two million, four hundred fifty-six thousand, seven hundred sixty-nine".