11084838912 has 288 divisors, whose sum is σ = 37301977440. Its totient is φ = 3105423360.

The previous prime is 11084838907. The next prime is 11084838923. The reversal of 11084838912 is 21983848011.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6837462 + ... + 6839082.

It is an arithmetic number, because the mean of its divisors is an integer number (129520755).

Almost surely, 2^11084838912 is an apocalyptic number.

11084838912 is a gapful number since it is divisible by the number (12) 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 11084838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650988720).

11084838912 is an abundant number, since it is smaller than the sum of its proper divisors (26217138528).

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

11084838912 is a wasteful number, since it uses less digits than its factorization.

11084838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1686 counting only the distinct ones).

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

The spelling of 11084838912 in words is "eleven billion, eighty-four million, eight hundred thirty-eight thousand, nine hundred twelve".