226349254656 has 576 divisors, whose sum is σ = 786888648000. Its totient is φ = 64099123200.

The previous prime is 226349254601. The next prime is 226349254657. The reversal of 226349254656 is 656452943622.

226349254656 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 4 + 92 + 546 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (226349254657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376620756 + ... + 376621356.

It is an arithmetic number, because the mean of its divisors is an integer number (1366126125).

Almost surely, 2^226349254656 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 226349254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393444324000).

226349254656 is an abundant number, since it is smaller than the sum of its proper divisors (560539393344).

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

226349254656 is a wasteful number, since it uses less digits than its factorization.

226349254656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 752 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 226349254656 in words is "two hundred twenty-six billion, three hundred forty-nine million, two hundred fifty-four thousand, six hundred fifty-six".