11073306842112 has 176 divisors, whose sum is σ = 29832975248832. Its totient is φ = 3651297607680.

The previous prime is 11073306842071. The next prime is 11073306842119. The reversal of 11073306842112 is 21124860337011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11073306842119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718431718 + ... + 718447130.

Almost surely, 2^{11073306842112} is an apocalyptic number.

11073306842112 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 11073306842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916487624416).

11073306842112 is an abundant number, since it is smaller than the sum of its proper divisors (18759668406720).

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

11073306842112 is a wasteful number, since it uses less digits than its factorization.

11073306842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17944 (or 17926 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 11073306842112 in words is "eleven trillion, seventy-three billion, three hundred six million, eight hundred forty-two thousand, one hundred twelve".