11134344011112 has 192 divisors, whose sum is σ = 36288404131200. Its totient is φ = 3012885849600.

The previous prime is 11134344011071. The next prime is 11134344011177. The reversal of 11134344011112 is 21111044343111.

11134344011112 is a `hidden beast` number, since 1 + 113 + 4 + 34 + 401 + 1 + 112 = 666.

It is a super-2 number, since 2×11134344011112² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31434258 + ... + 31786494.

It is an arithmetic number, because the mean of its divisors is an integer number (189002104850).

Almost surely, 2^{11134344011112} is an apocalyptic number.

11134344011112 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 11134344011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144202065600).

11134344011112 is an abundant number, since it is smaller than the sum of its proper divisors (25154060120088).

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

11134344011112 is a wasteful number, since it uses less digits than its factorization.

11134344011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355576 (or 355569 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11134344011112 its reverse (21111044343111), we get a palindrome (32245388354223).

The spelling of 11134344011112 in words is "eleven trillion, one hundred thirty-four billion, three hundred forty-four million, eleven thousand, one hundred twelve".