11833004480 has 112 divisors (see below), whose sum is σ = 31243402080. Its totient is φ = 4232294400.

The previous prime is 11833004467. The next prime is 11833004507. The reversal of 11833004480 is 8440033811.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 187166 + ... + 242274.

Almost surely, 2^11833004480 is an apocalyptic number.

11833004480 is a gapful number since it is divisible by the number (10) 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 11833004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621701040).

11833004480 is an abundant number, since it is smaller than the sum of its proper divisors (19410397600).

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

11833004480 is a wasteful number, since it uses less digits than its factorization.

11833004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55198 (or 55188 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 11833004480 in words is "eleven billion, eight hundred thirty-three million, four thousand, four hundred eighty".