221389818432 has 224 divisors, whose sum is σ = 625191519744. Its totient is φ = 68901273600.

The previous prime is 221389818421. The next prime is 221389818437. The reversal of 221389818432 is 234818983122.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (221389818437) 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 31 ways as a sum of consecutive naturals, for example, 339034618 + ... + 339035270.

Almost surely, 2^221389818432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221389818432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312595759872).

221389818432 is an abundant number, since it is smaller than the sum of its proper divisors (403801701312).

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

221389818432 is a wasteful number, since it uses less digits than its factorization.

221389818432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1347 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 221389818432 in words is "two hundred twenty-one billion, three hundred eighty-nine million, eight hundred eighteen thousand, four hundred thirty-two".