226745078976 has 224 divisors, whose sum is σ = 718323379200. Its totient is φ = 69723141120.

The previous prime is 226745078927. The next prime is 226745078977. The reversal of 226745078976 is 679870547622.

226745078976 is a `hidden beast` number, since 2 + 26 + 7 + 450 + 78 + 97 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (226745078977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59999455 + ... + 60003233.

It is an arithmetic number, because the mean of its divisors is an integer number (3206800800).

Almost surely, 2^226745078976 is an apocalyptic number.

226745078976 is a gapful number since it is divisible by the number (26) 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 226745078976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359161689600).

226745078976 is an abundant number, since it is smaller than the sum of its proper divisors (491578300224).

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

226745078976 is a wasteful number, since it uses less digits than its factorization.

226745078976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 226745078976 in words is "two hundred twenty-six billion, seven hundred forty-five million, seventy-eight thousand, nine hundred seventy-six".