226806069600000 has 864 divisors, whose sum is σ = 914540763144960. Its totient is φ = 54983232000000.

The previous prime is 226806069599983. The next prime is 226806069600041. The reversal of 226806069600000 is 6960608622.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 237122715 + ... + 238077285.

It is an arithmetic number, because the mean of its divisors is an integer number (1058496253640).

Almost surely, 2^{226806069600000} is an apocalyptic number.

226806069600000 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 226806069600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457270381572480).

226806069600000 is an abundant number, since it is smaller than the sum of its proper divisors (687734693544960).

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

226806069600000 is an frugal number, since it uses more digits than its factorization.

226806069600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954632 (or 954592 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 226806069600000 in words is "two hundred twenty-six trillion, eight hundred six billion, sixty-nine million, six hundred thousand".