226563222772800 has 2016 divisors, whose sum is σ = 899389546099200. Its totient is φ = 53829390827520.

The previous prime is 226563222772781. The next prime is 226563222772819. The reversal of 226563222772800 is 8277222365622.

226563222772800 is a `hidden beast` number, since 2 + 2 + 6 + 563 + 2 + 2 + 2 + 7 + 72 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226563222772781) and next prime (226563222772819).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 113679488604 + ... + 113679490596.

Almost surely, 2^{226563222772800} is an apocalyptic number.

226563222772800 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 226563222772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449694773049600).

226563222772800 is an abundant number, since it is smaller than the sum of its proper divisors (672826323326400).

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

226563222772800 is a wasteful number, since it uses less digits than its factorization.

226563222772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 226563222772800 in words is "two hundred twenty-six trillion, five hundred sixty-three billion, two hundred twenty-two million, seven hundred seventy-two thousand, eight hundred".