11123148960 has 1152 divisors, whose sum is σ = 52496398080. Its totient is φ = 2167603200.

The previous prime is 11123148947. The next prime is 11123148989. The reversal of 11123148960 is 6984132111.

11123148960 is a `hidden beast` number, since 1 + 112 + 3 + 1 + 489 + 60 = 666.

11123148960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 39584020 + ... + 39584300.

It is an arithmetic number, because the mean of its divisors is an integer number (45569790).

Almost surely, 2^11123148960 is an apocalyptic number.

11123148960 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 11123148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248199040).

11123148960 is an abundant number, since it is smaller than the sum of its proper divisors (41373249120).

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

11123148960 is a wasteful number, since it uses less digits than its factorization.

11123148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11123148960 in words is "eleven billion, one hundred twenty-three million, one hundred forty-eight thousand, nine hundred sixty".