11128144896 has 264 divisors, whose sum is σ = 36194366208. Its totient is φ = 3262464000.

The previous prime is 11128144891. The next prime is 11128144897. The reversal of 11128144896 is 69844182111.

11128144896 is a `hidden beast` number, since 1 + 112 + 8 + 1 + 448 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11128144891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3140886 + ... + 3144426.

It is an arithmetic number, because the mean of its divisors is an integer number (137099872).

Almost surely, 2^11128144896 is an apocalyptic number.

11128144896 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 11128144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18097183104).

11128144896 is an abundant number, since it is smaller than the sum of its proper divisors (25066221312).

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

11128144896 is a wasteful number, since it uses less digits than its factorization.

11128144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3588 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 11128144896 in words is "eleven billion, one hundred twenty-eight million, one hundred forty-four thousand, eight hundred ninety-six".