86584234654225 has 81 divisors (see below), whose sum is σ = 137285137597041. Its totient is φ = 53972354620800.

The previous prime is 86584234654193. The next prime is 86584234654283. The reversal of 86584234654225 is 52245643248568.

The square root of 86584234654225 is 9305065.

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 19103464304001 + 67480770350224 = 4370751^2 + 8214668^2 .

It is not a de Polignac number, because 86584234654225 - 2⁵ = 86584234654193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3582437941 + ... + 3582462109.

Almost surely, 2^{86584234654225} is an apocalyptic number.

86584234654225 is the 9305065-th square number.

86584234654225 is the 4652533-rd centered octagonal number.

It is an amenable number.

86584234654225 is a deficient number, since it is larger than the sum of its proper divisors (50700902942816).

86584234654225 is an frugal number, since it uses more digits than its factorization.

86584234654225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48384 (or 24192 counting only the distinct ones).

The product of its digits is 442368000, while the sum is 64.

The spelling of 86584234654225 in words is "eighty-six trillion, five hundred eighty-four billion, two hundred thirty-four million, six hundred fifty-four thousand, two hundred twenty-five".