224495504640 has 720 divisors, whose sum is σ = 927939862080. Its totient is φ = 51217367040.

The previous prime is 224495504621. The next prime is 224495504731. The reversal of 224495504640 is 46405594422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19382371 + ... + 19393949.

It is an arithmetic number, because the mean of its divisors is an integer number (1288805364).

Almost surely, 2^224495504640 is an apocalyptic number.

224495504640 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 224495504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463969931040).

224495504640 is an abundant number, since it is smaller than the sum of its proper divisors (703444357440).

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

224495504640 is a wasteful number, since it uses less digits than its factorization.

224495504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640 (or 11617 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 224495504640 in words is "two hundred twenty-four billion, four hundred ninety-five million, five hundred four thousand, six hundred forty".