11268811187712 has 960 divisors, whose sum is σ = 38896281103680. Its totient is φ = 3107079585792.

The previous prime is 11268811187687. The next prime is 11268811187717. The reversal of 11268811187712 is 21778111886211.

It is a super-2 number, since 2×11268811187712² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11268811187717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2155882443 + ... + 2155887669.

It is an arithmetic number, because the mean of its divisors is an integer number (40516959483).

Almost surely, 2^{11268811187712} is an apocalyptic number.

11268811187712 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 11268811187712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19448140551840).

11268811187712 is an abundant number, since it is smaller than the sum of its proper divisors (27627469915968).

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

11268811187712 is a wasteful number, since it uses less digits than its factorization.

11268811187712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5364 counting only the distinct ones).

The product of its digits is 602112, while the sum is 54.

The spelling of 11268811187712 in words is "eleven trillion, two hundred sixty-eight billion, eight hundred eleven million, one hundred eighty-seven thousand, seven hundred twelve".