3112073223168 has 352 divisors, whose sum is σ = 10417389337600. Its totient is φ = 820762951680.

The previous prime is 3112073223151. The next prime is 3112073223173. The reversal of 3112073223168 is 8613223702113.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13584453 + ... + 13811643.

Almost surely, 2^{3112073223168} 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 3112073223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208694668800).

3112073223168 is an abundant number, since it is smaller than the sum of its proper divisors (7305316114432).

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

3112073223168 is a wasteful number, since it uses less digits than its factorization.

3112073223168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227248 (or 227216 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 3112073223168 in words is "three trillion, one hundred twelve billion, seventy-three million, two hundred twenty-three thousand, one hundred sixty-eight".