226316378880 has 864 divisors, whose sum is σ = 850463857152. Its totient is φ = 55418880000.

The previous prime is 226316378863. The next prime is 226316378909. The reversal of 226316378880 is 88873613622.

226316378880 is a `hidden beast` number, since 2 + 263 + 1 + 6 + 378 + 8 + 8 + 0 = 666.

226316378880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 901658755 + ... + 901659005.

It is an arithmetic number, because the mean of its divisors is an integer number (984333168).

Almost surely, 2^226316378880 is an apocalyptic number.

226316378880 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 226316378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425231928576).

226316378880 is an abundant number, since it is smaller than the sum of its proper divisors (624147478272).

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

226316378880 is a wasteful number, since it uses less digits than its factorization.

226316378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 226316378880 in words is "two hundred twenty-six billion, three hundred sixteen million, three hundred seventy-eight thousand, eight hundred eighty".