224717485639680 has 576 divisors, whose sum is σ = 851570261942400. Its totient is φ = 54352765255680.

The previous prime is 224717485639679. The next prime is 224717485639709. The reversal of 224717485639680 is 86936584717422.

224717485639680 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 1 + 7 + 485 + 63 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 224717485639599 and 224717485639608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444788172 + ... + 445293108.

It is an arithmetic number, because the mean of its divisors is an integer number (1478420593650).

It is a 1-persistent number, because it is pandigital, but 2⋅224717485639680 = 449434971279360 is not.

Almost surely, 2^{224717485639680} is an apocalyptic number.

224717485639680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224717485639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425785130971200).

224717485639680 is an abundant number, since it is smaller than the sum of its proper divisors (626852776302720).

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

224717485639680 is a wasteful number, since it uses less digits than its factorization.

224717485639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505420 (or 505397 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 224717485639680 in words is "two hundred twenty-four trillion, seven hundred seventeen billion, four hundred eighty-five million, six hundred thirty-nine thousand, six hundred eighty".