2265319147716 has 144 divisors (see below), whose sum is σ = 6174754709760. Its totient is φ = 698099497920.

The previous prime is 2265319147709. The next prime is 2265319147799. The reversal of 2265319147716 is 6177419135622.

2265319147716 is a `hidden beast` number, since 2 + 2 + 6 + 531 + 91 + 4 + 7 + 7 + 16 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4672611 + ... + 5134581.

It is an arithmetic number, because the mean of its divisors is an integer number (42880241040).

Almost surely, 2^{2265319147716} 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 2265319147716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087377354880).

2265319147716 is an abundant number, since it is smaller than the sum of its proper divisors (3909435562044).

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

2265319147716 is a wasteful number, since it uses less digits than its factorization.

2265319147716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462174 (or 462169 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 2265319147716 in words is "two trillion, two hundred sixty-five billion, three hundred nineteen million, one hundred forty-seven thousand, seven hundred sixteen".