223072289928000 has 1120 divisors, whose sum is σ = 831595748974848. Its totient is φ = 59029544448000.

The previous prime is 223072289927999. The next prime is 223072289928017. The reversal of 223072289928000 is 829982270322.

It is a happy number.

223072289928000 is a `hidden beast` number, since 2 + 2 + 307 + 228 + 99 + 28 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×223072289928000³ (a number of 44 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 (54).

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 159 ways as a sum of consecutive naturals, for example, 93688486810 + ... + 93688489190.

Almost surely, 2^{223072289928000} is an apocalyptic number.

223072289928000 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 223072289928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415797874487424).

223072289928000 is an abundant number, since it is smaller than the sum of its proper divisors (608523459046848).

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

223072289928000 is a wasteful number, since it uses less digits than its factorization.

223072289928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 223072289928000 in words is "two hundred twenty-three trillion, seventy-two billion, two hundred eighty-nine million, nine hundred twenty-eight thousand".