224601252173664 has 96 divisors (see below), whose sum is σ = 622337440032000. Its totient is φ = 70729143565824.

The previous prime is 224601252173659. The next prime is 224601252173677. The reversal of 224601252173664 is 466371252106422.

It is a tau number, because it is divible by the number of its divisors (96).

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, 170844699 + ... + 172154330.

It is an arithmetic number, because the mean of its divisors is an integer number (6482681667000).

Almost surely, 2^{224601252173664} is an apocalyptic number.

224601252173664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224601252173664 is an abundant number, since it is smaller than the sum of its proper divisors (397736187858336).

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

224601252173664 is a wasteful number, since it uses less digits than its factorization.

224601252173664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342999420 (or 342999412 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 224601252173664 in words is "two hundred twenty-four trillion, six hundred one billion, two hundred fifty-two million, one hundred seventy-three thousand, six hundred sixty-four".