2271194085312 has 280 divisors, whose sum is σ = 6832254501072. Its totient is φ = 745873920000.

The previous prime is 2271194085271. The next prime is 2271194085421. The reversal of 2271194085312 is 2135804911722.

2271194085312 is a `hidden beast` number, since 2 + 2 + 71 + 1 + 9 + 40 + 8 + 531 + 2 = 666.

2271194085312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 412866562 + ... + 412872062.

Almost surely, 2^{2271194085312} 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 2271194085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416127250536).

2271194085312 is an abundant number, since it is smaller than the sum of its proper divisors (4561060415760).

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

2271194085312 is a wasteful number, since it uses less digits than its factorization.

2271194085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2271194085312 in words is "two trillion, two hundred seventy-one billion, one hundred ninety-four million, eighty-five thousand, three hundred twelve".