11606506656 has 48 divisors (see below), whose sum is σ = 30472652448. Its totient is φ = 3868128000.

The previous prime is 11606506651. The next prime is 11606506669. The reversal of 11606506656 is 65660560611.

11606506656 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 (48).

It is not an unprimeable number, because it can be changed into a prime (11606506651) 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 7 ways as a sum of consecutive naturals, for example, 944391 + ... + 956601.

It is an arithmetic number, because the mean of its divisors is an integer number (634846926).

Almost surely, 2^11606506656 is an apocalyptic number.

11606506656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11606506656 is an abundant number, since it is smaller than the sum of its proper divisors (18866145792).

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

11606506656 is a wasteful number, since it uses less digits than its factorization.

11606506656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125 (or 22117 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 11606506656 in words is "eleven billion, six hundred six million, five hundred six thousand, six hundred fifty-six".