132568223284224 has 4224 divisors, whose sum is σ = 539219023795200. Its totient is φ = 32181550055424.

The previous prime is 132568223284169. The next prime is 132568223284247. The reversal of 132568223284224 is 422482322865231.

132568223284224 is a `hidden beast` number, since 1 + 3 + 2 + 568 + 2 + 2 + 32 + 8 + 42 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1816003058652 + ... + 1816003058724.

Almost surely, 2^{132568223284224} is an apocalyptic number.

132568223284224 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 132568223284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269609511897600).

132568223284224 is an abundant number, since it is smaller than the sum of its proper divisors (406650800510976).

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

132568223284224 is an equidigital number, since it uses as much as digits as its factorization.

132568223284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 184 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 132568223284224 in words is "one hundred thirty-two trillion, five hundred sixty-eight billion, two hundred twenty-three million, two hundred eighty-four thousand, two hundred twenty-four".