224447731677664 has 96 divisors (see below), whose sum is σ = 484521510987360. Its totient is φ = 101499977318400.

The previous prime is 224447731677661. The next prime is 224447731677683. The reversal of 224447731677664 is 466776137744422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224447731677593 and 224447731677602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224447731677661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86350822 + ... + 88912090.

It is an arithmetic number, because the mean of its divisors is an integer number (5047099072785).

Almost surely, 2^{224447731677664} 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 224447731677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242260755493680).

224447731677664 is an abundant number, since it is smaller than the sum of its proper divisors (260073779309696).

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

224447731677664 is a wasteful number, since it uses less digits than its factorization.

224447731677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562564 (or 2562556 counting only the distinct ones).

The product of its digits is 1593188352, while the sum is 70.

The spelling of 224447731677664 in words is "two hundred twenty-four trillion, four hundred forty-seven billion, seven hundred thirty-one million, six hundred seventy-seven thousand, six hundred sixty-four".