223608813120 has 1008 divisors, whose sum is σ = 997672725504. Its totient is φ = 44950118400.

The previous prime is 223608813101. The next prime is 223608813121. The reversal of 223608813120 is 21318806322.

223608813120 is a `hidden beast` number, since 2 + 23 + 608 + 8 + 1 + 3 + 1 + 20 = 666.

223608813120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (223608813121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75618682 + ... + 75621638.

It is an arithmetic number, because the mean of its divisors is an integer number (989754688).

Almost surely, 2^223608813120 is an apocalyptic number.

223608813120 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 223608813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498836362752).

223608813120 is an abundant number, since it is smaller than the sum of its proper divisors (774063912384).

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

223608813120 is a wasteful number, since it uses less digits than its factorization.

223608813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 223608813120 in words is "two hundred twenty-three billion, six hundred eight million, eight hundred thirteen thousand, one hundred twenty".