224501664144256 has 128 divisors (see below), whose sum is σ = 479852518348800. Its totient is φ = 104297084356608.

The previous prime is 224501664144239. The next prime is 224501664144281. The reversal of 224501664144256 is 652441466105422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342923025 + ... + 343577071.

It is an arithmetic number, because the mean of its divisors is an integer number (3748847799600).

Almost surely, 2^{224501664144256} 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 224501664144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239926259174400).

224501664144256 is an abundant number, since it is smaller than the sum of its proper divisors (255350854204544).

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

224501664144256 is a wasteful number, since it uses less digits than its factorization.

224501664144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656796 (or 656784 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 52.

The spelling of 224501664144256 in words is "two hundred twenty-four trillion, five hundred one billion, six hundred sixty-four million, one hundred forty-four thousand, two hundred fifty-six".