21224416768 has 80 divisors (see below), whose sum is σ = 44964778320. Its totient is φ = 9973989376.

The previous prime is 21224416747. The next prime is 21224416781. The reversal of 21224416768 is 86761442212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8868180 + ... + 8870572.

It is an arithmetic number, because the mean of its divisors is an integer number (562059729).

Almost surely, 2^21224416768 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 21224416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22482389160).

21224416768 is an abundant number, since it is smaller than the sum of its proper divisors (23740361552).

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

21224416768 is a wasteful number, since it uses less digits than its factorization.

21224416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3431 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The spelling of 21224416768 in words is "twenty-one billion, two hundred twenty-four million, four hundred sixteen thousand, seven hundred sixty-eight".