9961136900 has 144 divisors (see below), whose sum is σ = 25488576960. Its totient is φ = 3331238400.

The previous prime is 9961136879. The next prime is 9961136917. The reversal of 9961136900 is 96311699.

It is a happy number.

It is a super-2 number, since 2×9961136900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4388966 + ... + 4391234.

Almost surely, 2^9961136900 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 9961136900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744288480).

9961136900 is an abundant number, since it is smaller than the sum of its proper divisors (15527440060).

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

9961136900 is a wasteful number, since it uses less digits than its factorization.

With its successor (9961136901) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2607).

9961136900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 44.

The square root of 9961136900 is about 99805.4953396856. The cubic root of 9961136900 is about 2151.6401330343.

The spelling of 9961136900 in words is "nine billion, nine hundred sixty-one million, one hundred thirty-six thousand, nine hundred".