11820009344 has 256 divisors, whose sum is σ = 29380700160. Its totient is φ = 4661452800.

The previous prime is 11820009337. The next prime is 11820009347. The reversal of 11820009344 is 44390002811.

It is a happy number.

It is a super-3 number, since 3×11820009344³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11820009344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11820009347) 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 31 ways as a sum of consecutive naturals, for example, 20994407 + ... + 20994969.

It is an arithmetic number, because the mean of its divisors is an integer number (114768360).

Almost surely, 2^11820009344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11820009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14690350080).

11820009344 is an abundant number, since it is smaller than the sum of its proper divisors (17560690816).

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

11820009344 is a wasteful number, since it uses less digits than its factorization.

11820009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 11820009344 in words is "eleven billion, eight hundred twenty million, nine thousand, three hundred forty-four".