224465374364032 has 128 divisors (see below), whose sum is σ = 481693790361600. Its totient is φ = 103885270917120.

The previous prime is 224465374363921. The next prime is 224465374364041. The reversal of 224465374364032 is 230463473564422.

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, 2733041944 + ... + 2733124072.

It is an arithmetic number, because the mean of its divisors is an integer number (3763232737200).

Almost surely, 2^{224465374364032} 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 224465374364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240846895180800).

224465374364032 is an abundant number, since it is smaller than the sum of its proper divisors (257228415997568).

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

224465374364032 is a wasteful number, since it uses less digits than its factorization.

224465374364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112144 (or 112132 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 55.

The spelling of 224465374364032 in words is "two hundred twenty-four trillion, four hundred sixty-five billion, three hundred seventy-four million, three hundred sixty-four thousand, thirty-two".