226006683060384 has 288 divisors, whose sum is σ = 672991007480064. Its totient is φ = 71870065090560.

The previous prime is 226006683060331. The next prime is 226006683060427. The reversal of 226006683060384 is 483060386600622.

226006683060384 is a `hidden beast` number, since 2 + 26 + 0 + 0 + 6 + 6 + 8 + 3 + 0 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 226006683060384.

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 47 ways as a sum of consecutive naturals, for example, 623056732 + ... + 623419364.

It is an arithmetic number, because the mean of its divisors is an integer number (2336774331528).

Almost surely, 2^{226006683060384} is an apocalyptic number.

226006683060384 is a gapful number since it is divisible by the number (24) 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 226006683060384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336495503740032).

226006683060384 is an abundant number, since it is smaller than the sum of its proper divisors (446984324419680).

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

226006683060384 is a wasteful number, since it uses less digits than its factorization.

226006683060384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363860 (or 363849 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 226006683060384 in words is "two hundred twenty-six trillion, six billion, six hundred eighty-three million, sixty thousand, three hundred eighty-four".