11513908224 has 264 divisors, whose sum is σ = 40921331360. Its totient is φ = 3036413952.

The previous prime is 11513908213. The next prime is 11513908267. The reversal of 11513908224 is 42280931511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 831792 + ... + 845520.

Almost surely, 2^11513908224 is an apocalyptic number.

11513908224 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 11513908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20460665680).

11513908224 is an abundant number, since it is smaller than the sum of its proper divisors (29407423136).

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

11513908224 is a wasteful number, since it uses less digits than its factorization.

11513908224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13775 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11513908224 in words is "eleven billion, five hundred thirteen million, nine hundred eight thousand, two hundred twenty-four".