223906128768 has 768 divisors, whose sum is σ = 803727360000. Its totient is φ = 61110153216.

The previous prime is 223906128751. The next prime is 223906128781. The reversal of 223906128768 is 867821609322.

223906128768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623693773 + ... + 623694131.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520000).

Almost surely, 2^223906128768 is an apocalyptic number.

223906128768 is a gapful number since it is divisible by the number (28) 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 223906128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401863680000).

223906128768 is an abundant number, since it is smaller than the sum of its proper divisors (579821231232).

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

223906128768 is a wasteful number, since it uses less digits than its factorization.

223906128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

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

The spelling of 223906128768 in words is "two hundred twenty-three billion, nine hundred six million, one hundred twenty-eight thousand, seven hundred sixty-eight".