9109886016 has 448 divisors, whose sum is σ = 32353081344. Its totient is φ = 2189721600.

The previous prime is 9109886011. The next prime is 9109886041. The reversal of 9109886016 is 6106889019.

9109886016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

9109886016 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (9109886011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16838706 + ... + 16839246.

Almost surely, 2^9109886016 is an apocalyptic number.

9109886016 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 9109886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176540672).

9109886016 is an abundant number, since it is smaller than the sum of its proper divisors (23243195328).

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

9109886016 is a wasteful number, since it uses less digits than its factorization.

9109886016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 9109886016 is about 95445.7228795508. The cubic root of 9109886016 is about 2088.5152352199.

The spelling of 9109886016 in words is "nine billion, one hundred nine million, eight hundred eighty-six thousand, sixteen".