226815207552 has 192 divisors, whose sum is σ = 661814768160. Its totient is φ = 74550988800.

The previous prime is 226815207533. The next prime is 226815207571. The reversal of 226815207552 is 255702518622.

226815207552 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 1 + 520 + 75 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (226815207533) and next prime (226815207571).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 226815207498 and 226815207507.

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, 57463243 + ... + 57467189.

Almost surely, 2^226815207552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226815207552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330907384080).

226815207552 is an abundant number, since it is smaller than the sum of its proper divisors (434999560608).

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

226815207552 is a wasteful number, since it uses less digits than its factorization.

226815207552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 226815207552 in words is "two hundred twenty-six billion, eight hundred fifteen million, two hundred seven thousand, five hundred fifty-two".