11544066294336 has 189 divisors, whose sum is σ = 34926853807443. Its totient is φ = 3645005356800.

The previous prime is 11544066294307. The next prime is 11544066294337. The reversal of 11544066294336 is 63349266044511.

The square root of 11544066294336 is 3397656.

It is a perfect power (a square), and thus also a powerful number.

11544066294336 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 4 + 0 + 6 + 629 + 4 + 3 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (11544066294337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1549327411 + ... + 1549334861.

Almost surely, 2^{11544066294336} is an apocalyptic number.

11544066294336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11544066294336 is the 3397656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11544066294336

11544066294336 is an abundant number, since it is smaller than the sum of its proper divisors (23382787513107).

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

11544066294336 is an frugal number, since it uses more digits than its factorization.

11544066294336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14958 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 11544066294336 in words is "eleven trillion, five hundred forty-four billion, sixty-six million, two hundred ninety-four thousand, three hundred thirty-six".