9611836416 has 528 divisors, whose sum is σ = 34847210944. Its totient is φ = 2484338688.

The previous prime is 9611836327. The next prime is 9611836417. The reversal of 9611836416 is 6146381169.

9611836416 is a `hidden beast` number, since 96 + 118 + 36 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9611836417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61221810 + ... + 61221966.

Almost surely, 2^9611836416 is an apocalyptic number.

9611836416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9611836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17423605472).

9611836416 is an abundant number, since it is smaller than the sum of its proper divisors (25235374528).

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

9611836416 is a wasteful number, since it uses less digits than its factorization.

9611836416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9611836416 is about 98039.9735618079. The cubic root of 9611836416 is about 2126.1902566298.

The spelling of 9611836416 in words is "nine billion, six hundred eleven million, eight hundred thirty-six thousand, four hundred sixteen".