11126664327168 has 832 divisors, whose sum is σ = 37763707766400. Its totient is φ = 3207132610560.

The previous prime is 11126664327161. The next prime is 11126664327169. The reversal of 11126664327168 is 86172346662111.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11126664327161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5890239568 + ... + 5890241456.

Almost surely, 2^{11126664327168} is an apocalyptic number.

11126664327168 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 11126664327168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18881853883200).

11126664327168 is an abundant number, since it is smaller than the sum of its proper divisors (26637043439232).

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

11126664327168 is a wasteful number, since it uses less digits than its factorization.

11126664327168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2165 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 11126664327168 in words is "eleven trillion, one hundred twenty-six billion, six hundred sixty-four million, three hundred twenty-seven thousand, one hundred sixty-eight".