11488336704 has 448 divisors, whose sum is σ = 39172896000. Its totient is φ = 3269984256.

The previous prime is 11488336697. The next prime is 11488336733. The reversal of 11488336704 is 40763388411.

It is a self number, because there is not a number n which added to its sum of digits gives 11488336704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25586272 + ... + 25586720.

It is an arithmetic number, because the mean of its divisors is an integer number (87439500).

Almost surely, 2^11488336704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11488336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586448000).

11488336704 is an abundant number, since it is smaller than the sum of its proper divisors (27684559296).

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

11488336704 is a wasteful number, since it uses less digits than its factorization.

11488336704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11488336704 in words is "eleven billion, four hundred eighty-eight million, three hundred thirty-six thousand, seven hundred four".