11785449984 has 320 divisors, whose sum is σ = 39399478272. Its totient is φ = 3041280000.

The previous prime is 11785449967. The next prime is 11785449989. The reversal of 11785449984 is 48994458711.

11785449984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11785449989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29686074 + ... + 29686470.

Almost surely, 2^11785449984 is an apocalyptic number.

11785449984 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 11785449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699739136).

11785449984 is an abundant number, since it is smaller than the sum of its proper divisors (27614028288).

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

11785449984 is a wasteful number, since it uses less digits than its factorization.

11785449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 60.

The spelling of 11785449984 in words is "eleven billion, seven hundred eighty-five million, four hundred forty-nine thousand, nine hundred eighty-four".