226881924825600 has 2400 divisors, whose sum is σ = 935441202484800. Its totient is φ = 53849633587200.

The previous prime is 226881924825581. The next prime is 226881924825607. The reversal of 226881924825600 is 6528429188622.

226881924825600 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 8 + 1 + 92 + 482 + 5 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is not an unprimeable number, because it can be changed into a prime (226881924825607) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 108607909356 + ... + 108607911444.

It is an arithmetic number, because the mean of its divisors is an integer number (389767167702).

Almost surely, 2^{226881924825600} is an apocalyptic number.

226881924825600 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 226881924825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467720601242400).

226881924825600 is an abundant number, since it is smaller than the sum of its proper divisors (708559277659200).

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

226881924825600 is a wasteful number, since it uses less digits than its factorization.

226881924825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 226881924825600 in words is "two hundred twenty-six trillion, eight hundred eighty-one billion, nine hundred twenty-four million, eight hundred twenty-five thousand, six hundred".