9685135845 has 96 divisors (see below), whose sum is σ = 21629502720. Its totient is φ = 4024944000.

The previous prime is 9685135819. The next prime is 9685135861. The reversal of 9685135845 is 5485315869.

9685135845 is a `hidden beast` number, since 9 + 6 + 8 + 51 + 3 + 584 + 5 = 666.

It is not a de Polignac number, because 9685135845 - 2⁶ = 9685135781 is a prime.

It is a super-3 number, since 3×9685135845³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 9685135791 and 9685135800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71995 + ... + 156695.

It is an arithmetic number, because the mean of its divisors is an integer number (225307320).

Almost surely, 2^9685135845 is an apocalyptic number.

It is an amenable number.

9685135845 is an abundant number, since it is smaller than the sum of its proper divisors (11944366875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9685135845 is a wasteful number, since it uses less digits than its factorization.

9685135845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84744 (or 84727 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The square root of 9685135845 is about 98413.0877729177. The cubic root of 9685135845 is about 2131.5813192855.

It can be divided in two parts, 9685 and 135845, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 9685135845 in words is "nine billion, six hundred eighty-five million, one hundred thirty-five thousand, eight hundred forty-five".