221487741312 has 128 divisors (see below), whose sum is σ = 603077529600. Its totient is φ = 71980584960.

The previous prime is 221487741281. The next prime is 221487741329. The reversal of 221487741312 is 213147784122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29579233 + ... + 29586719.

It is an arithmetic number, because the mean of its divisors is an integer number (4711543200).

Almost surely, 2^221487741312 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 221487741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301538764800).

221487741312 is an abundant number, since it is smaller than the sum of its proper divisors (381589788288).

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

221487741312 is a wasteful number, since it uses less digits than its factorization.

221487741312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 9412 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The spelling of 221487741312 in words is "two hundred twenty-one billion, four hundred eighty-seven million, seven hundred forty-one thousand, three hundred twelve".