224450000647344 has 240 divisors, whose sum is σ = 672172238119200. Its totient is φ = 69778786258944.

The previous prime is 224450000647339. The next prime is 224450000647363. The reversal of 224450000647344 is 443746000054422.

224450000647344 is a `hidden beast` number, since 2 + 2 + 44 + 500 + 0 + 0 + 64 + 7 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 224450000647344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16251852 + ... + 26702484.

It is an arithmetic number, because the mean of its divisors is an integer number (2800717658830).

Almost surely, 2^{224450000647344} is an apocalyptic number.

224450000647344 is a gapful number since it is divisible by the number (24) 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 224450000647344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336086119059600).

224450000647344 is an abundant number, since it is smaller than the sum of its proper divisors (447722237471856).

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

224450000647344 is a wasteful number, since it uses less digits than its factorization.

224450000647344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450852 (or 10450843 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 45.

The spelling of 224450000647344 in words is "two hundred twenty-four trillion, four hundred fifty billion, six hundred forty-seven thousand, three hundred forty-four".