86575412169 has 15 divisors (see below), whose sum is σ = 129332658103. Its totient is φ = 57715176024.

The previous prime is 86575412167. The next prime is 86575412201. The reversal of 86575412169 is 96121457568.

It is a happy number.

The square root of 86575412169 is 294237.

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

86575412169 is a `hidden beast` number, since 8 + 6 + 575 + 4 + 1 + 2 + 1 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1901396025 + 84674016144 = 43605^2 + 290988^2 .

It is not a de Polignac number, because 86575412169 - 2¹ = 86575412167 is a prime.

It is a super-2 number, since 2×86575412169² (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 (86575412167) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2631787 + ... + 2664479.

Almost surely, 2^86575412169 is an apocalyptic number.

86575412169 is the 294237-th square number.

86575412169 is the 147119-th centered octagonal number.

It is an amenable number.

86575412169 is a deficient number, since it is larger than the sum of its proper divisors (42757245934).

86575412169 is an frugal number, since it uses more digits than its factorization.

86575412169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65398 (or 32696 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 86575412169 in words is "eighty-six billion, five hundred seventy-five million, four hundred twelve thousand, one hundred sixty-nine".