11349235314144 has 480 divisors, whose sum is σ = 41095035850176. Its totient is φ = 2992135127040.

The previous prime is 11349235314121. The next prime is 11349235314173. The reversal of 11349235314144 is 44141353294311.

11349235314144 is a `hidden beast` number, since 1 + 1 + 3 + 492 + 3 + 5 + 3 + 14 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11349235314144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 829554984 + ... + 829568664.

Almost surely, 2^{11349235314144} is an apocalyptic number.

11349235314144 is a gapful number since it is divisible by the number (14) 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 11349235314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547517925088).

11349235314144 is an abundant number, since it is smaller than the sum of its proper divisors (29745800536032).

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

11349235314144 is a wasteful number, since it uses less digits than its factorization.

11349235314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17240 (or 17223 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 11349235314144 in words is "eleven trillion, three hundred forty-nine billion, two hundred thirty-five million, three hundred fourteen thousand, one hundred forty-four".