226839947221440 has 1792 divisors, whose sum is σ = 945347977728000. Its totient is φ = 50136502763520.

The previous prime is 226839947221439. The next prime is 226839947221543. The reversal of 226839947221440 is 44122749938622.

226839947221440 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 39 + 94 + 72 + 2 + 1 + 440 = 666.

226839947221440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 120084672016 + ... + 120084673904.

It is an arithmetic number, because the mean of its divisors is an integer number (527537934000).

Almost surely, 2^{226839947221440} is an apocalyptic number.

226839947221440 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 226839947221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472673988864000).

226839947221440 is an abundant number, since it is smaller than the sum of its proper divisors (718508030506560).

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

226839947221440 is a wasteful number, since it uses less digits than its factorization.

226839947221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 226839947221440 in words is "two hundred twenty-six trillion, eight hundred thirty-nine billion, nine hundred forty-seven million, two hundred twenty-one thousand, four hundred forty".