11266144224192 has 2016 divisors, whose sum is σ = 42830927596800. Its totient is φ = 2876473036800.

The previous prime is 11266144224187. The next prime is 11266144224241. The reversal of 11266144224192 is 29142244166211.

11266144224192 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 614 + 4 + 2 + 24 + 1 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

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 287 ways as a sum of consecutive naturals, for example, 49630591183 + ... + 49630591409.

It is an arithmetic number, because the mean of its divisors is an integer number (21245499800).

Almost surely, 2^{11266144224192} is an apocalyptic number.

11266144224192 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 11266144224192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415463798400).

11266144224192 is an abundant number, since it is smaller than the sum of its proper divisors (31564783372608).

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

11266144224192 is a wasteful number, since it uses less digits than its factorization.

11266144224192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 306 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 11266144224192 in words is "eleven trillion, two hundred sixty-six billion, one hundred forty-four million, two hundred twenty-four thousand, one hundred ninety-two".