223484420888064 has 1080 divisors, whose sum is σ = 786457210916520. Its totient is φ = 63250952454144.

The previous prime is 223484420888059. The next prime is 223484420888107. The reversal of 223484420888064 is 460888024484322.

223484420888064 is a `hidden beast` number, since 2 + 2 + 34 + 8 + 442 + 0 + 88 + 80 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 223484420887992 and 223484420888010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17612447032 + ... + 17612459720.

It is an arithmetic number, because the mean of its divisors is an integer number (728201121219).

Almost surely, 2^{223484420888064} is an apocalyptic number.

223484420888064 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 223484420888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393228605458260).

223484420888064 is an abundant number, since it is smaller than the sum of its proper divisors (562972790028456).

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

223484420888064 is an frugal number, since it uses more digits than its factorization.

223484420888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12852 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 150994944, while the sum is 63.

The spelling of 223484420888064 in words is "two hundred twenty-three trillion, four hundred eighty-four billion, four hundred twenty million, eight hundred eighty-eight thousand, sixty-four".