32228449344 has 1344 divisors, whose sum is σ = 132317337600. Its totient is φ = 7587385344.

The previous prime is 32228449339. The next prime is 32228449361. The reversal of 32228449344 is 44394482223.

It is a happy number.

32228449344 is a `hidden beast` number, since 3 + 22 + 284 + 4 + 9 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 32228449344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 481021599 + ... + 481021665.

It is an arithmetic number, because the mean of its divisors is an integer number (98450400).

Almost surely, 2^32228449344 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 32228449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66158668800).

32228449344 is an abundant number, since it is smaller than the sum of its proper divisors (100088888256).

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

32228449344 is a wasteful number, since it uses less digits than its factorization.

32228449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 32228449344 in words is "thirty-two billion, two hundred twenty-eight million, four hundred forty-nine thousand, three hundred forty-four".