226682536273920 has 288 divisors, whose sum is σ = 788540069640960. Its totient is φ = 60225611857920.

The previous prime is 226682536273811. The next prime is 226682536273933. The reversal of 226682536273920 is 29372635286622.

It is a happy number.

226682536273920 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 8 + 2 + 536 + 2 + 7 + 3 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20437237 + ... + 29513483.

It is an arithmetic number, because the mean of its divisors is an integer number (2737986352920).

Almost surely, 2^{226682536273920} is an apocalyptic number.

226682536273920 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 226682536273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394270034820480).

226682536273920 is an abundant number, since it is smaller than the sum of its proper divisors (561857533367040).

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

226682536273920 is a wasteful number, since it uses less digits than its factorization.

226682536273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076551 (or 9076528 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 226682536273920 in words is "two hundred twenty-six trillion, six hundred eighty-two billion, five hundred thirty-six million, two hundred seventy-three thousand, nine hundred twenty".