2227643310816 has 2304 divisors, whose sum is σ = 9047711232000. Its totient is φ = 531116974080.

The previous prime is 2227643310799. The next prime is 2227643310833. The reversal of 2227643310816 is 6180133467222.

2227643310816 is a `hidden beast` number, since 22 + 276 + 43 + 310 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2227643310799) and next prime (2227643310833).

It is a super-3 number, since 3×2227643310816³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30515661756 + ... + 30515661828.

It is an arithmetic number, because the mean of its divisors is an integer number (3926958000).

Almost surely, 2^{2227643310816} 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 2227643310816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523855616000).

2227643310816 is an abundant number, since it is smaller than the sum of its proper divisors (6820067921184).

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

2227643310816 is a wasteful number, since it uses less digits than its factorization.

2227643310816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2227643310816 in words is "two trillion, two hundred twenty-seven billion, six hundred forty-three million, three hundred ten thousand, eight hundred sixteen".