268223041800 has 1152 divisors, whose sum is σ = 1127306419200. Its totient is φ = 55785646080.

The previous prime is 268223041799. The next prime is 268223041831. The reversal of 268223041800 is 8140322862.

268223041800 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 230 + 418 + 0 + 0 = 666.

268223041800 is digitally balanced in base 2, 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 (36).

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 287 ways as a sum of consecutive naturals, for example, 947784459 + ... + 947784741.

It is an arithmetic number, because the mean of its divisors is an integer number (978564600).

Almost surely, 2^268223041800 is an apocalyptic number.

268223041800 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 268223041800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563653209600).

268223041800 is an abundant number, since it is smaller than the sum of its proper divisors (859083377400).

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

268223041800 is a wasteful number, since it uses less digits than its factorization.

268223041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 268223041800 in words is "two hundred sixty-eight billion, two hundred twenty-three million, forty-one thousand, eight hundred".