11506444992 has 504 divisors, whose sum is σ = 41407080000. Its totient is φ = 3035999232.

The previous prime is 11506444967. The next prime is 11506444993. The reversal of 11506444992 is 29944460511.

11506444992 is a `hidden beast` number, since 1 + 150 + 6 + 4 + 4 + 499 + 2 = 666.

11506444992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (11506444993) 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 71 ways as a sum of consecutive naturals, for example, 23058759 + ... + 23059257.

Almost surely, 2^11506444992 is an apocalyptic number.

11506444992 is a gapful number since it is divisible by the number (12) 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 11506444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703540000).

11506444992 is an abundant number, since it is smaller than the sum of its proper divisors (29900635008).

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

11506444992 is a wasteful number, since it uses less digits than its factorization.

11506444992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11506444992 in words is "eleven billion, five hundred six million, four hundred forty-four thousand, nine hundred ninety-two".