223848821145600 has 2160 divisors, whose sum is σ = 970898184372480. Its totient is φ = 48157949952000.

The previous prime is 223848821145557. The next prime is 223848821145601. The reversal of 223848821145600 is 6541128848322.

223848821145600 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 4 + 8 + 8 + 21 + 1 + 4 + 5 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223848821145601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79917464200 + ... + 79917467000.

Almost surely, 2^{223848821145600} is an apocalyptic number.

223848821145600 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 223848821145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485449092186240).

223848821145600 is an abundant number, since it is smaller than the sum of its proper divisors (747049363226880).

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

223848821145600 is a wasteful number, since it uses less digits than its factorization.

223848821145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 223848821145600 in words is "two hundred twenty-three trillion, eight hundred forty-eight billion, eight hundred twenty-one million, one hundred forty-five thousand, six hundred".