9609866517645 has 64 divisors (see below), whose sum is σ = 17676191808000. Its totient is φ = 4947724228608.

The previous prime is 9609866517637. The next prime is 9609866517659. The reversal of 9609866517645 is 5467156689069.

9609866517645 is a `hidden beast` number, since 9 + 6 + 0 + 9 + 8 + 66 + 517 + 6 + 45 = 666.

It is not a de Polignac number, because 9609866517645 - 2³ = 9609866517637 is a prime.

It is a super-3 number, since 3×9609866517645³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24260541 + ... + 24653469.

It is an arithmetic number, because the mean of its divisors is an integer number (276190497000).

Almost surely, 2^{9609866517645} is an apocalyptic number.

It is an amenable number.

9609866517645 is a deficient number, since it is larger than the sum of its proper divisors (8066325290355).

9609866517645 is a wasteful number, since it uses less digits than its factorization.

9609866517645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399219 (or 399213 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 9609866517645 in words is "nine trillion, six hundred nine billion, eight hundred sixty-six million, five hundred seventeen thousand, six hundred forty-five".