11123514090 has 288 divisors, whose sum is σ = 33558744960. Its totient is φ = 2547417600.

The previous prime is 11123514049. The next prime is 11123514107. The reversal of 11123514090 is 9041532111.

It is a happy number.

11123514090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 17628075 + ... + 17628705.

It is an arithmetic number, because the mean of its divisors is an integer number (116523420).

Almost surely, 2^11123514090 is an apocalyptic number.

11123514090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123514090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16779372480).

11123514090 is an abundant number, since it is smaller than the sum of its proper divisors (22435230870).

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

11123514090 is a wasteful number, since it uses less digits than its factorization.

11123514090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11123514090 in words is "eleven billion, one hundred twenty-three million, five hundred fourteen thousand, ninety".