224665347688384 has 112 divisors (see below), whose sum is σ = 472405789711296. Its totient is φ = 105644095488000.

The previous prime is 224665347688297. The next prime is 224665347688387. The reversal of 224665347688384 is 483886743566422.

It is a self number, because there is not a number n which added to its sum of digits gives 224665347688384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224665347688387) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11543192637 + ... + 11543212099.

It is an arithmetic number, because the mean of its divisors is an integer number (4217908836708).

Almost surely, 2^{224665347688384} 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 224665347688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236202894855648).

224665347688384 is an abundant number, since it is smaller than the sum of its proper divisors (247740442022912).

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

224665347688384 is a wasteful number, since it uses less digits than its factorization.

224665347688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27054 (or 27044 counting only the distinct ones).

The product of its digits is 8918138880, while the sum is 76.

The spelling of 224665347688384 in words is "two hundred twenty-four trillion, six hundred sixty-five billion, three hundred forty-seven million, six hundred eighty-eight thousand, three hundred eighty-four".