223409050905600 has 4224 divisors, whose sum is σ = 1050289417175040. Its totient is φ = 45355106304000.

The previous prime is 223409050905527. The next prime is 223409050905701. The reversal of 223409050905600 is 6509050904322.

223409050905600 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 0 + 90 + 509 + 0 + 56 + 0 + 0 = 666.

It is a super-2 number, since 2×223409050905600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 104543307732 + ... + 104543309868.

Almost surely, 2^{223409050905600} is an apocalyptic number.

223409050905600 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 223409050905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525144708587520).

223409050905600 is an abundant number, since it is smaller than the sum of its proper divisors (826880366269440).

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

223409050905600 is a wasteful number, since it uses less digits than its factorization.

223409050905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 223409050905600 in words is "two hundred twenty-three trillion, four hundred nine billion, fifty million, nine hundred five thousand, six hundred".