11269887843168 has 288 divisors, whose sum is σ = 34561090549440. Its totient is φ = 3474623201280.

The previous prime is 11269887843157. The next prime is 11269887843211. The reversal of 11269887843168 is 86134878896211.

It is a happy number.

11269887843168 is a `hidden beast` number, since 1 + 1 + 2 + 69 + 8 + 8 + 78 + 431 + 68 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11269887843096 and 11269887843105.

It is a congruent number.

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, 30505378 + ... + 30872606.

It is an arithmetic number, because the mean of its divisors is an integer number (120003786630).

Almost surely, 2^{11269887843168} is an apocalyptic number.

11269887843168 is a gapful number since it is divisible by the number (18) 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 11269887843168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280545274720).

11269887843168 is an abundant number, since it is smaller than the sum of its proper divisors (23291202706272).

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

11269887843168 is a wasteful number, since it uses less digits than its factorization.

11269887843168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367422 (or 367411 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 72.

The spelling of 11269887843168 in words is "eleven trillion, two hundred sixty-nine billion, eight hundred eighty-seven million, eight hundred forty-three thousand, one hundred sixty-eight".