226238791680 has 648 divisors, whose sum is σ = 864791931276. Its totient is φ = 54672752640.

The previous prime is 226238791651. The next prime is 226238791699. The reversal of 226238791680 is 86197832622.

226238791680 is a `hidden beast` number, since 2 + 2 + 623 + 8 + 7 + 9 + 1 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200474689536 + 25764102144 = 447744^2 + 160512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 713686882 + ... + 713687198.

Almost surely, 2^226238791680 is an apocalyptic number.

226238791680 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 226238791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432395965638).

226238791680 is an abundant number, since it is smaller than the sum of its proper divisors (638553139596).

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

226238791680 is an equidigital number, since it uses as much as digits as its factorization.

226238791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 226238791680 in words is "two hundred twenty-six billion, two hundred thirty-eight million, seven hundred ninety-one thousand, six hundred eighty".