224456016400200 has 384 divisors, whose sum is σ = 833896602201600. Its totient is φ = 55164506112000.

The previous prime is 224456016400169. The next prime is 224456016400241. The reversal of 224456016400200 is 2004610654422.

224456016400200 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 5 + 6 + 0 + 1 + 640 + 0 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42504145 + ... + 47492255.

It is an arithmetic number, because the mean of its divisors is an integer number (2171605734900).

Almost surely, 2^{224456016400200} is an apocalyptic number.

224456016400200 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 224456016400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416948301100800).

224456016400200 is an abundant number, since it is smaller than the sum of its proper divisors (609440585801400).

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

224456016400200 is a wasteful number, since it uses less digits than its factorization.

224456016400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988790 (or 4988775 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 224456016400200 in words is "two hundred twenty-four trillion, four hundred fifty-six billion, sixteen million, four hundred thousand, two hundred".