223161282432000 has 1056 divisors, whose sum is σ = 877928610312000. Its totient is φ = 54060023808000.

The previous prime is 223161282431987. The next prime is 223161282432191. The reversal of 223161282432000 is 234282161322.

223161282432000 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 612 + 8 + 2 + 4 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×223161282432000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 19628922316 + ... + 19628933684.

Almost surely, 2^{223161282432000} is an apocalyptic number.

223161282432000 is a gapful number since it is divisible by the number (20) 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 223161282432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438964305156000).

223161282432000 is an abundant number, since it is smaller than the sum of its proper divisors (654767327880000).

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

223161282432000 is a wasteful number, since it uses less digits than its factorization.

223161282432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 223161282432000 in words is "two hundred twenty-three trillion, one hundred sixty-one billion, two hundred eighty-two million, four hundred thirty-two thousand".