11482706304 has 192 divisors, whose sum is σ = 35090256240. Its totient is φ = 3591733248.

The previous prime is 11482706303. The next prime is 11482706317. The reversal of 11482706304 is 40360728411.

11482706304 is a `hidden beast` number, since 1 + 14 + 8 + 2 + 7 + 0 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11482706303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8949247 + ... + 8950529.

Almost surely, 2^11482706304 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 11482706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545128120).

11482706304 is an abundant number, since it is smaller than the sum of its proper divisors (23607549936).

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

11482706304 is a wasteful number, since it uses less digits than its factorization.

11482706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11482706304 in words is "eleven billion, four hundred eighty-two million, seven hundred six thousand, three hundred four".