86605935425361 has 135 divisors (see below), whose sum is σ = 142360600259865. Its totient is φ = 50733848919600.

The previous prime is 86605935425323. The next prime is 86605935425419. The reversal of 86605935425361 is 16352453950668.

It is a happy number.

The square root of 86605935425361 is 9306231.

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

86605935425361 is a `hidden beast` number, since 8 + 6 + 6 + 0 + 5 + 93 + 5 + 4 + 2 + 536 + 1 = 666.

It is not a de Polignac number, because 86605935425361 - 2³⁹ = 86056179611473 is a prime.

It is a super-3 number, since 3×86605935425361³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86605935625361) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 104723017030 + ... + 104723017856.

Almost surely, 2^{86605935425361} is an apocalyptic number.

86605935425361 is the 9306231-st square number.

86605935425361 is the 4653116-th centered octagonal number.

It is an amenable number.

86605935425361 is a deficient number, since it is larger than the sum of its proper divisors (55754664834504).

86605935425361 is an frugal number, since it uses more digits than its factorization.

86605935425361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 86605935425361 in words is "eighty-six trillion, six hundred five billion, nine hundred thirty-five million, four hundred twenty-five thousand, three hundred sixty-one".