11167269213936 has 160 divisors (see below), whose sum is σ = 31582353957120. Its totient is φ = 3372100300800.

The previous prime is 11167269213917. The next prime is 11167269213943. The reversal of 11167269213936 is 63931296276111.

It is a super-4 number, since 4×11167269213936⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 372066066 + ... + 372096078.

It is an arithmetic number, because the mean of its divisors is an integer number (197389712232).

Almost surely, 2^{11167269213936} is an apocalyptic number.

11167269213936 is a gapful number since it is divisible by the number (16) 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 11167269213936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15791176978560).

11167269213936 is an abundant number, since it is smaller than the sum of its proper divisors (20415084743184).

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

11167269213936 is a wasteful number, since it uses less digits than its factorization.

11167269213936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32495 (or 32489 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 57.

The spelling of 11167269213936 in words is "eleven trillion, one hundred sixty-seven billion, two hundred sixty-nine million, two hundred thirteen thousand, nine hundred thirty-six".