11821844736 has 324 divisors, whose sum is σ = 37408566468. Its totient is φ = 3588489216.

The previous prime is 11821844689. The next prime is 11821844743. The reversal of 11821844736 is 63744812811.

It can be written as a sum of positive squares in 6 ways, for example, as 5715360000 + 6106484736 = 75600^2 + 78144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11821844691 and 11821844700.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37769316 + ... + 37769628.

Almost surely, 2^11821844736 is an apocalyptic number.

11821844736 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 11821844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18704283234).

11821844736 is an abundant number, since it is smaller than the sum of its proper divisors (25586721732).

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

11821844736 is a wasteful number, since it uses less digits than its factorization.

11821844736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 428 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 11821844736 in words is "eleven billion, eight hundred twenty-one million, eight hundred forty-four thousand, seven hundred thirty-six".