221481352320 has 256 divisors, whose sum is σ = 757156118400. Its totient is φ = 54896984064.

The previous prime is 221481352307. The next prime is 221481352397. The reversal of 221481352320 is 23253184122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1876164 + ... + 1990716.

Almost surely, 2^221481352320 is an apocalyptic number.

221481352320 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 221481352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378578059200).

221481352320 is an abundant number, since it is smaller than the sum of its proper divisors (535674766080).

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

221481352320 is a wasteful number, since it uses less digits than its factorization.

221481352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114647 (or 114635 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 221481352320 in words is "two hundred twenty-one billion, four hundred eighty-one million, three hundred fifty-two thousand, three hundred twenty".