11145996288 has 576 divisors, whose sum is σ = 39351312000. Its totient is φ = 3034644480.

The previous prime is 11145996283. The next prime is 11145996289. The reversal of 11145996288 is 88269954111.

11145996288 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 5 + 9 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (1244160) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11145996283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259209195 + ... + 259209237.

It is an arithmetic number, because the mean of its divisors is an integer number (68318250).

Almost surely, 2^11145996288 is an apocalyptic number.

11145996288 is a gapful number since it is divisible by the number (18) 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 11145996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675656000).

11145996288 is an abundant number, since it is smaller than the sum of its proper divisors (28205315712).

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

11145996288 is an equidigital number, since it uses as much as digits as its factorization.

11145996288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 11145996288 in words is "eleven billion, one hundred forty-five million, nine hundred ninety-six thousand, two hundred eighty-eight".