223960464000 has 1792 divisors, whose sum is σ = 1032378197760. Its totient is φ = 47029248000.

The previous prime is 223960463989. The next prime is 223960464001. The reversal of 223960464000 is 464069322.

223960464000 is a `hidden beast` number, since 2 + 2 + 3 + 9 + 6 + 0 + 4 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223960464001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1061423895 + ... + 1061424105.

It is an arithmetic number, because the mean of its divisors is an integer number (576103905).

Almost surely, 2^223960464000 is an apocalyptic number.

223960464000 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 223960464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516189098880).

223960464000 is an abundant number, since it is smaller than the sum of its proper divisors (808417733760).

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

223960464000 is an equidigital number, since it uses as much as digits as its factorization.

223960464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 223960464000 in words is "two hundred twenty-three billion, nine hundred sixty million, four hundred sixty-four thousand".