221734684248 has 256 divisors, whose sum is σ = 710891596800. Its totient is φ = 55950704640.

The previous prime is 221734684247. The next prime is 221734684349. The reversal of 221734684248 is 842486437122.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221734684248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221734684247) 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 63 ways as a sum of consecutive naturals, for example, 52579036 + ... + 52583252.

It is an arithmetic number, because the mean of its divisors is an integer number (2776920300).

Almost surely, 2^221734684248 is an apocalyptic number.

221734684248 is a gapful number since it is divisible by the number (28) 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 221734684248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355445798400).

221734684248 is an abundant number, since it is smaller than the sum of its proper divisors (489156912552).

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

221734684248 is a wasteful number, since it uses less digits than its factorization.

221734684248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5046 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 51.

The spelling of 221734684248 in words is "two hundred twenty-one billion, seven hundred thirty-four million, six hundred eighty-four thousand, two hundred forty-eight".