86856230269561 has 27 divisors (see below), whose sum is σ = 93074764342287. Its totient is φ = 81045332771040.

The previous prime is 86856230269537. The next prime is 86856230269609. The reversal of 86856230269561 is 16596203265868.

The square root of 86856230269561 is 9319669.

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., 4185219899961 + 82671010369600 = 2045781^2 + 9092360^2 .

It is not a de Polignac number, because 86856230269561 - 2⁹ = 86856230269049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86856230269511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8788442926 + ... + 8788452808.

Almost surely, 2^{86856230269561} is an apocalyptic number.

86856230269561 is the 9319669-th square number.

86856230269561 is the 4659835-th centered octagonal number.

It is an amenable number.

86856230269561 is a deficient number, since it is larger than the sum of its proper divisors (6218534072726).

86856230269561 is an frugal number, since it uses more digits than its factorization.

86856230269561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19894 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 67.

The spelling of 86856230269561 in words is "eighty-six trillion, eight hundred fifty-six billion, two hundred thirty million, two hundred sixty-nine thousand, five hundred sixty-one".