11389339584 has 448 divisors, whose sum is σ = 41006085120. Its totient is φ = 3025797120.

The previous prime is 11389339583. The next prime is 11389339589. The reversal of 11389339584 is 48593398311.

11389339584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11389339584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11389339583) 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 63 ways as a sum of consecutive naturals, for example, 19946019 + ... + 19946589.

It is an arithmetic number, because the mean of its divisors is an integer number (91531440).

Almost surely, 2^11389339584 is an apocalyptic number.

11389339584 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 11389339584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503042560).

11389339584 is an abundant number, since it is smaller than the sum of its proper divisors (29616745536).

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

11389339584 is a wasteful number, since it uses less digits than its factorization.

11389339584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 697 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 11389339584 in words is "eleven billion, three hundred eighty-nine million, three hundred thirty-nine thousand, five hundred eighty-four".