226442710368 has 144 divisors (see below), whose sum is σ = 736432010496. Its totient is φ = 64654560000.

The previous prime is 226442710339. The next prime is 226442710421. The reversal of 226442710368 is 863017244622.

It is a happy number.

226442710368 is a `hidden beast` number, since 2 + 2 + 64 + 427 + 103 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 3033493 + ... + 3107243.

It is an arithmetic number, because the mean of its divisors is an integer number (5114111184).

Almost surely, 2^226442710368 is an apocalyptic number.

226442710368 is a gapful number since it is divisible by the number (28) 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 226442710368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368216005248).

226442710368 is an abundant number, since it is smaller than the sum of its proper divisors (509989300128).

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

226442710368 is a wasteful number, since it uses less digits than its factorization.

226442710368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75297 (or 75286 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 226442710368 in words is "two hundred twenty-six billion, four hundred forty-two million, seven hundred ten thousand, three hundred sixty-eight".