11339384832 has 384 divisors, whose sum is σ = 36324288000. Its totient is φ = 3483648000.

The previous prime is 11339384803. The next prime is 11339384839. The reversal of 11339384832 is 23848393311.

11339384832 is a `hidden beast` number, since 1 + 133 + 9 + 38 + 483 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (11339384839) 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, 45176707 + ... + 45176957.

It is an arithmetic number, because the mean of its divisors is an integer number (94594500).

Almost surely, 2^11339384832 is an apocalyptic number.

11339384832 is a gapful number since it is divisible by the number (12) 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 11339384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144000).

11339384832 is an abundant number, since it is smaller than the sum of its proper divisors (24984903168).

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

11339384832 is a wasteful number, since it uses less digits than its factorization.

11339384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 318 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 11339384832 in words is "eleven billion, three hundred thirty-nine million, three hundred eighty-four thousand, eight hundred thirty-two".