11766553344 has 432 divisors, whose sum is σ = 43090790400. Its totient is φ = 3101110272.

The previous prime is 11766553321. The next prime is 11766553369. The reversal of 11766553344 is 44335566711.

11766553344 is a `hidden beast` number, since 1 + 1 + 7 + 66 + 553 + 34 + 4 = 666.

11766553344 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 (432).

It is a self number, because there is not a number n which added to its sum of digits gives 11766553344.

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, 8176177 + ... + 8177615.

It is an arithmetic number, because the mean of its divisors is an integer number (99747200).

Almost surely, 2^11766553344 is an apocalyptic number.

11766553344 is a gapful number since it is divisible by the number (14) 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 11766553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21545395200).

11766553344 is an abundant number, since it is smaller than the sum of its proper divisors (31324237056).

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

11766553344 is a wasteful number, since it uses less digits than its factorization.

11766553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1464 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 11766553344 in words is "eleven billion, seven hundred sixty-six million, five hundred fifty-three thousand, three hundred forty-four".