86168983425625 has 45 divisors (see below), whose sum is σ = 108438673964313. Its totient is φ = 68450814150000.

The previous prime is 86168983425617. The next prime is 86168983425631. The reversal of 86168983425625 is 52652438986168.

The square root of 86168983425625 is 9282725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 6755648300569 + 79413335125056 = 2599163^2 + 8911416^2 .

It is not a de Polignac number, because 86168983425625 - 2³ = 86168983425617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35042285646 + ... + 35042288104.

Almost surely, 2^{86168983425625} is an apocalyptic number.

86168983425625 is the 9282725-th square number.

86168983425625 is the 4641363-rd centered octagonal number.

It is an amenable number.

86168983425625 is a deficient number, since it is larger than the sum of its proper divisors (22269690538688).

86168983425625 is an frugal number, since it uses more digits than its factorization.

86168983425625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 2615 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 73.

The spelling of 86168983425625 in words is "eighty-six trillion, one hundred sixty-eight billion, nine hundred eighty-three million, four hundred twenty-five thousand, six hundred twenty-five".