223273888992 has 1152 divisors, whose sum is σ = 879159536640. Its totient is φ = 53769830400.

The previous prime is 223273888979. The next prime is 223273889053. The reversal of 223273888992 is 299888372322.

223273888992 is a `hidden beast` number, since 223 + 27 + 388 + 8 + 9 + 9 + 2 = 666.

223273888992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223273888992³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1629736348 + ... + 1629736484.

It is an arithmetic number, because the mean of its divisors is an integer number (763159320).

Almost surely, 2^223273888992 is an apocalyptic number.

223273888992 is a gapful number since it is divisible by the number (22) 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 223273888992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439579768320).

223273888992 is an abundant number, since it is smaller than the sum of its proper divisors (655885647648).

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

223273888992 is a wasteful number, since it uses less digits than its factorization.

223273888992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 308 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 223273888992 in words is "two hundred twenty-three billion, two hundred seventy-three million, eight hundred eighty-eight thousand, nine hundred ninety-two".