223113306772800 has 420 divisors, whose sum is σ = 820221497821440. Its totient is φ = 59488676398080.

The previous prime is 223113306772793. The next prime is 223113306772801. The reversal of 223113306772800 is 8277603311322.

It is a happy number.

223113306772800 is a `hidden beast` number, since 2 + 2 + 31 + 1 + 330 + 6 + 7 + 7 + 280 + 0 = 666.

It is a super-3 number, since 3×223113306772800³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223113306772801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 970200231 + ... + 970430169.

Almost surely, 2^{223113306772800} is an apocalyptic number.

223113306772800 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 223113306772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410110748910720).

223113306772800 is an abundant number, since it is smaller than the sum of its proper divisors (597108191048640).

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

223113306772800 is a wasteful number, since it uses less digits than its factorization.

223113306772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237460 (or 237436 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 223113306772800 in words is "two hundred twenty-three trillion, one hundred thirteen billion, three hundred six million, seven hundred seventy-two thousand, eight hundred".