9985694909645 has 128 divisors (see below), whose sum is σ = 15273125683200. Its totient is φ = 6099479221248.

The previous prime is 9985694909629. The next prime is 9985694909647. The reversal of 9985694909645 is 5469094965899.

9985694909645 = T₁ + T₂ + ... + T₃₉₁₂₉.

It is a happy number.

9985694909645 is a nontrivial binomial coefficient, being equal to C(39131, 3).

It is not a de Polignac number, because 9985694909645 - 2⁴ = 9985694909629 is a prime.

It is a super-3 number, since 3×9985694909645³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985694909647) by changing a digit.

It is the 39129-th tetrahedral number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 765591494 + ... + 765604536.

It is an arithmetic number, because the mean of its divisors is an integer number (119321294400).

Almost surely, 2^{9985694909645} is an apocalyptic number.

It is an amenable number.

9985694909645 is a deficient number, since it is larger than the sum of its proper divisors (5287430773555).

9985694909645 is a wasteful number, since it uses less digits than its factorization.

9985694909645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13579.

The product of its (nonzero) digits is 6802444800, while the sum is 83.

The spelling of 9985694909645 in words is "nine trillion, nine hundred eighty-five billion, six hundred ninety-four million, nine hundred nine thousand, six hundred forty-five".