11001111001000 has 128 divisors (see below), whose sum is σ = 25912012557600. Its totient is φ = 4371525580800.

The previous prime is 11001111000991. The next prime is 11001111001019. The reversal of 11001111001000 is 10011110011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3068179630884 + 7932931370116 = 1751622^2 + 2816546^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 222972334 + ... + 223021666.

Almost surely, 2^{11001111001000} is an apocalyptic number.

11001111001000 is a gapful number since it is divisible by the number (10) 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 11001111001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956006278800).

11001111001000 is an abundant number, since it is smaller than the sum of its proper divisors (14910901556600).

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

11001111001000 is a wasteful number, since it uses less digits than its factorization.

11001111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50816 (or 50802 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11001111001000 its reverse (10011110011), we get a palindrome (11011122111011).

The spelling of 11001111001000 in words is "eleven trillion, one billion, one hundred eleven million, one thousand".