11154816828 has 168 divisors, whose sum is σ = 31069180800. Its totient is φ = 3495086496.

The previous prime is 11154816797. The next prime is 11154816833. The reversal of 11154816828 is 82861845111.

11154816828 is a `hidden beast` number, since 1 + 11 + 548 + 16 + 82 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3955603 + ... + 3958421.

It is an arithmetic number, because the mean of its divisors is an integer number (184935600).

Almost surely, 2^11154816828 is an apocalyptic number.

11154816828 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 11154816828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534590400).

11154816828 is an abundant number, since it is smaller than the sum of its proper divisors (19914363972).

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

11154816828 is a wasteful number, since it uses less digits than its factorization.

11154816828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2906 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The spelling of 11154816828 in words is "eleven billion, one hundred fifty-four million, eight hundred sixteen thousand, eight hundred twenty-eight".