223815460608 has 288 divisors, whose sum is σ = 686297364480. Its totient is φ = 71872634880.

The previous prime is 223815460591. The next prime is 223815460637. The reversal of 223815460608 is 806064518322.

223815460608 is a `hidden beast` number, since 2 + 2 + 38 + 1 + 5 + 4 + 6 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49923135 + ... + 49927617.

It is an arithmetic number, because the mean of its divisors is an integer number (2382976960).

Almost surely, 2^223815460608 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 223815460608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343148682240).

223815460608 is an abundant number, since it is smaller than the sum of its proper divisors (462481903872).

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

223815460608 is a wasteful number, since it uses less digits than its factorization.

223815460608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 223815460608 in words is "two hundred twenty-three billion, eight hundred fifteen million, four hundred sixty thousand, six hundred eight".