226743878769408 has 1728 divisors, whose sum is σ = 920591646105600. Its totient is φ = 53441489387520.

The previous prime is 226743878769389. The next prime is 226743878769437. The reversal of 226743878769408 is 804967878347622.

226743878769408 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 438 + 7 + 87 + 69 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5306784141 + ... + 5306826867.

It is an arithmetic number, because the mean of its divisors is an integer number (532749795200).

Almost surely, 2^{226743878769408} is an apocalyptic number.

226743878769408 is a gapful number since it is divisible by the number (28) 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 226743878769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460295823052800).

226743878769408 is an abundant number, since it is smaller than the sum of its proper divisors (693847767336192).

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

226743878769408 is a wasteful number, since it uses less digits than its factorization.

226743878769408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42855 (or 42822 counting only the distinct ones).

The product of its (nonzero) digits is 10924720128, while the sum is 81.

The spelling of 226743878769408 in words is "two hundred twenty-six trillion, seven hundred forty-three billion, eight hundred seventy-eight million, seven hundred sixty-nine thousand, four hundred eight".