11800309248 has 480 divisors, whose sum is σ = 42468281856. Its totient is φ = 3071361024.

The previous prime is 11800309217. The next prime is 11800309277. The reversal of 11800309248 is 84290300811.

11800309248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44867965 + ... + 44868227.

Almost surely, 2^11800309248 is an apocalyptic number.

11800309248 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 11800309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234140928).

11800309248 is an abundant number, since it is smaller than the sum of its proper divisors (30667972608).

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

11800309248 is a wasteful number, since it uses less digits than its factorization.

11800309248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11800309248 in words is "eleven billion, eight hundred million, three hundred nine thousand, two hundred forty-eight".