223411266400 has 576 divisors, whose sum is σ = 688455936000. Its totient is φ = 70489251840.

The previous prime is 223411266391. The next prime is 223411266413. The reversal of 223411266400 is 4662114322.

223411266400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 219245091 + ... + 219246109.

It is an arithmetic number, because the mean of its divisors is an integer number (1195236000).

Almost surely, 2^223411266400 is an apocalyptic number.

223411266400 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 223411266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344227968000).

223411266400 is an abundant number, since it is smaller than the sum of its proper divisors (465044669600).

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

223411266400 is a wasteful number, since it uses less digits than its factorization.

223411266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 223411266400 in words is "two hundred twenty-three billion, four hundred eleven million, two hundred sixty-six thousand, four hundred".