2224071146316 has 144 divisors (see below), whose sum is σ = 5547599366400. Its totient is φ = 691992031104.

The previous prime is 2224071146303. The next prime is 2224071146317. The reversal of 2224071146316 is 6136411704222.

2224071146316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2224071146317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314619630 + ... + 314626698.

It is an arithmetic number, because the mean of its divisors is an integer number (38524995600).

Almost surely, 2^{2224071146316} 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 2224071146316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773799683200).

2224071146316 is an abundant number, since it is smaller than the sum of its proper divisors (3323528220084).

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

2224071146316 is a wasteful number, since it uses less digits than its factorization.

2224071146316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 2224071146316 in words is "two trillion, two hundred twenty-four billion, seventy-one million, one hundred forty-six thousand, three hundred sixteen".