11661342364224 has 168 divisors, whose sum is σ = 38244945851840. Its totient is φ = 3327905129472.

The previous prime is 11661342364207. The next prime is 11661342364379. The reversal of 11661342364224 is 42246324316611.

11661342364224 is a `hidden beast` number, since 1 + 1 + 6 + 61 + 3 + 4 + 2 + 364 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11661342364224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1743987 + ... + 5134605.

Almost surely, 2^{11661342364224} is an apocalyptic number.

11661342364224 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 11661342364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19122472925920).

11661342364224 is an abundant number, since it is smaller than the sum of its proper divisors (26583603487616).

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

11661342364224 is a wasteful number, since it uses less digits than its factorization.

11661342364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391497 (or 3391484 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 11661342364224 in words is "eleven trillion, six hundred sixty-one billion, three hundred forty-two million, three hundred sixty-four thousand, two hundred twenty-four".