11921785344 has 480 divisors, whose sum is σ = 41002625664. Its totient is φ = 3264675840.

The previous prime is 11921785327. The next prime is 11921785357. The reversal of 11921785344 is 44358712911.

11921785344 is a `hidden beast` number, since 1 + 19 + 217 + 85 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11921785344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143635927 + ... + 143636009.

Almost surely, 2^11921785344 is an apocalyptic number.

11921785344 is a gapful number since it is divisible by the number (14) 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 11921785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501312832).

11921785344 is an abundant number, since it is smaller than the sum of its proper divisors (29080840320).

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

11921785344 is an equidigital number, since it uses as much as digits as its factorization.

11921785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 11921785344 in words is "eleven billion, nine hundred twenty-one million, seven hundred eighty-five thousand, three hundred forty-four".