9661845939200 has 1056 divisors, whose sum is σ = 30174942680064. Its totient is φ = 2986331996160.

The previous prime is 9661845939133. The next prime is 9661845939223. The reversal of 9661845939200 is 29395481669.

It is a Cunningham number, because it is equal to 3108351²-1.

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, 20689177367 + ... + 20689177833.

Almost surely, 2^{9661845939200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9661845939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087471340032).

9661845939200 is an abundant number, since it is smaller than the sum of its proper divisors (20513096740864).

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

9661845939200 is a wasteful number, since it uses less digits than its factorization.

9661845939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 62.

The spelling of 9661845939200 in words is "nine trillion, six hundred sixty-one billion, eight hundred forty-five million, nine hundred thirty-nine thousand, two hundred".