223477968420000 has 1440 divisors, whose sum is σ = 922612837386240. Its totient is φ = 50238639360000.

The previous prime is 223477968419941. The next prime is 223477968420013. The reversal of 223477968420000 is 24869774322.

223477968420000 is a `hidden beast` number, since 2 + 2 + 3 + 477 + 96 + 84 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 39630777181 + ... + 39630782819.

It is an arithmetic number, because the mean of its divisors is an integer number (640703359296).

Almost surely, 2^{223477968420000} is an apocalyptic number.

223477968420000 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 223477968420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461306418693120).

223477968420000 is an abundant number, since it is smaller than the sum of its proper divisors (699134868966240).

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

223477968420000 is a wasteful number, since it uses less digits than its factorization.

223477968420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 223477968420000 in words is "two hundred twenty-three trillion, four hundred seventy-seven billion, nine hundred sixty-eight million, four hundred twenty thousand".