11544546006 has 128 divisors (see below), whose sum is σ = 29675520000. Its totient is φ = 3258664992.

The previous prime is 11544545921. The next prime is 11544546007. The reversal of 11544546006 is 60064544511.

11544546006 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 45 + 4 + 600 + 6 = 666.

11544546006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11544546007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12561615 + ... + 12562533.

It is an arithmetic number, because the mean of its divisors is an integer number (231840000).

Almost surely, 2^11544546006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11544546006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837760000).

11544546006 is an abundant number, since it is smaller than the sum of its proper divisors (18130973994).

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

11544546006 is a wasteful number, since it uses less digits than its factorization.

11544546006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11544546006 in words is "eleven billion, five hundred forty-four million, five hundred forty-six thousand, six".