223646720000 has 630 divisors, whose sum is σ = 648367267779. Its totient is φ = 77045760000.

The previous prime is 223646719999. The next prime is 223646720041. The reversal of 223646720000 is 27646322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 51707121664 + 171939598336 = 227392^2 + 414656^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334400.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11770879991 + ... + 11770880009.

Almost surely, 2^223646720000 is an apocalyptic number.

223646720000 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 223646720000

223646720000 is an abundant number, since it is smaller than the sum of its proper divisors (424720547779).

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

223646720000 is an frugal number, since it uses more digits than its factorization.

223646720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

Multiplying 223646720000 by its sum of digits (32), we get a square (7156695040000 = 2675200²).

223646720000 divided by its sum of digits (32) gives a square (6988960000 = 83600²).

The spelling of 223646720000 in words is "two hundred twenty-three billion, six hundred forty-six million, seven hundred twenty thousand".