2226258774216 has 96 divisors (see below), whose sum is σ = 6086210902200. Its totient is φ = 735103641600.

The previous prime is 2226258774203. The next prime is 2226258774221. The reversal of 2226258774216 is 6124778526222.

2226258774216 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 2 + 587 + 7 + 42 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 845976852900 + 1380281921316 = 919770^2 + 1174854^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35418016 + ... + 35480816.

Almost surely, 2^{2226258774216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226258774216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043105451100).

2226258774216 is an abundant number, since it is smaller than the sum of its proper divisors (3859952127984).

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

2226258774216 is a wasteful number, since it uses less digits than its factorization.

2226258774216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67439 (or 67432 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 2226258774216 in words is "two trillion, two hundred twenty-six billion, two hundred fifty-eight million, seven hundred seventy-four thousand, two hundred sixteen".