11089170945216 has 1344 divisors, whose sum is σ = 44840952898560. Its totient is φ = 2607480668160.

The previous prime is 11089170945161. The next prime is 11089170945217. The reversal of 11089170945216 is 61254907198011.

11089170945216 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 9 + 170 + 9 + 452 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11089170945217) 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 191 ways as a sum of consecutive naturals, for example, 965025231 + ... + 965036721.

It is an arithmetic number, because the mean of its divisors is an integer number (33363804240).

Almost surely, 2^{11089170945216} is an apocalyptic number.

11089170945216 is a gapful number since it is divisible by the number (16) 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 11089170945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22420476449280).

11089170945216 is an abundant number, since it is smaller than the sum of its proper divisors (33751781953344).

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

11089170945216 is a wasteful number, since it uses less digits than its factorization.

11089170945216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11587 (or 11552 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 11089170945216 in words is "eleven trillion, eighty-nine billion, one hundred seventy million, nine hundred forty-five thousand, two hundred sixteen".