223855609824 has 960 divisors, whose sum is σ = 858311258112. Its totient is φ = 55539302400.

The previous prime is 223855609801. The next prime is 223855609837. The reversal of 223855609824 is 428906558322.

223855609824 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 5 + 5 + 609 + 8 + 24 = 666.

223855609824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×223855609824² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 600148902 + ... + 600149274.

Almost surely, 2^223855609824 is an apocalyptic number.

223855609824 is a gapful number since it is divisible by the number (24) 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 223855609824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429155629056).

223855609824 is an abundant number, since it is smaller than the sum of its proper divisors (634455648288).

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

223855609824 is a wasteful number, since it uses less digits than its factorization.

223855609824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 223855609824 in words is "two hundred twenty-three billion, eight hundred fifty-five million, six hundred nine thousand, eight hundred twenty-four".