11338443648 has 384 divisors, whose sum is σ = 40187347200. Its totient is φ = 2995937280.

The previous prime is 11338443601. The next prime is 11338443659. The reversal of 11338443648 is 84634483311.

11338443648 is a `hidden beast` number, since 1 + 133 + 84 + 436 + 4 + 8 = 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 a congruent number.

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, 6587428 + ... + 6589148.

It is an arithmetic number, because the mean of its divisors is an integer number (104654550).

Almost surely, 2^11338443648 is an apocalyptic number.

11338443648 is a gapful number since it is divisible by the number (18) 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 11338443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20093673600).

11338443648 is an abundant number, since it is smaller than the sum of its proper divisors (28848903552).

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

11338443648 is a wasteful number, since it uses less digits than its factorization.

11338443648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1795 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 11338443648 in words is "eleven billion, three hundred thirty-eight million, four hundred forty-three thousand, six hundred forty-eight".