223134780960 has 2304 divisors, whose sum is σ = 1056706560000. Its totient is φ = 42430832640.

The previous prime is 223134780937. The next prime is 223134780989. The reversal of 223134780960 is 69087431322.

223134780960 is a `hidden beast` number, since 223 + 1 + 347 + 80 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×223134780960³ (a number of 35 digits) contains 333 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, 3781945411 + ... + 3781945469.

It is an arithmetic number, because the mean of its divisors is an integer number (458640000).

Almost surely, 2^223134780960 is an apocalyptic number.

223134780960 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 223134780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280000).

223134780960 is an abundant number, since it is smaller than the sum of its proper divisors (833571779040).

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

223134780960 is a wasteful number, since it uses less digits than its factorization.

223134780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 223134780960 in words is "two hundred twenty-three billion, one hundred thirty-four million, seven hundred eighty thousand, nine hundred sixty".