11991126016 has 117 divisors (see below), whose sum is σ = 25262772301. Its totient is φ = 5690703872.

The previous prime is 11991126013. The next prime is 11991126041. The reversal of 11991126016 is 61062119911.

The square root of 11991126016 is 109504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6287855616 + 5703270400 = 79296^2 + 75520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11991126013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 203239395 + ... + 203239453.

Almost surely, 2^11991126016 is an apocalyptic number.

11991126016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11991126016 is the 109504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11991126016

11991126016 is an abundant number, since it is smaller than the sum of its proper divisors (13271646285).

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

11991126016 is an frugal number, since it uses more digits than its factorization.

11991126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 37.

It can be divided in two parts, 1199112 and 6016, that added together give a triangular number (1205128 = T₁₅₅₂).

The spelling of 11991126016 in words is "eleven billion, nine hundred ninety-one million, one hundred twenty-six thousand, sixteen".