226433395671616 has 315 divisors, whose sum is σ = 548295807031161. Its totient is φ = 92768011725312.

The previous prime is 226433395671589. The next prime is 226433395671631. The reversal of 226433395671616 is 616176593334622.

The square root of 226433395671616 is 15047704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 120791178174016 + 105642217497600 = 10990504^2 + 10278240^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

Its product of digits (176359680) is a multiple of the sum of its prime divisors (1701).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 135670098430 + ... + 135670100098.

Almost surely, 2^{226433395671616} is an apocalyptic number.

226433395671616 is the 15047704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226433395671616

226433395671616 is an abundant number, since it is smaller than the sum of its proper divisors (321862411359545).

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

226433395671616 is an frugal number, since it uses more digits than its factorization.

226433395671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 1701 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 64.

226433395671616 divided by its sum of digits (64) gives a square (3538021807369 = 1880963²).

The spelling of 226433395671616 in words is "two hundred twenty-six trillion, four hundred thirty-three billion, three hundred ninety-five million, six hundred seventy-one thousand, six hundred sixteen".