11991338496 has 160 divisors (see below), whose sum is σ = 35936762400. Its totient is φ = 3996739584.

The previous prime is 11991338483. The next prime is 11991338497. The reversal of 11991338496 is 69483319911.

11991338496 is a `hidden beast` number, since 1 + 19 + 9 + 133 + 8 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11991338497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114390 + ... + 1125098.

It is an arithmetic number, because the mean of its divisors is an integer number (224604765).

Almost surely, 2^11991338496 is an apocalyptic number.

11991338496 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 11991338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17968381200).

11991338496 is an abundant number, since it is smaller than the sum of its proper divisors (23945423904).

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

11991338496 is an frugal number, since it uses more digits than its factorization.

11991338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10748 (or 10714 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 11991338496 in words is "eleven billion, nine hundred ninety-one million, three hundred thirty-eight thousand, four hundred ninety-six".