3112186668192 has 576 divisors, whose sum is σ = 10775236792320. Its totient is φ = 865113467904.

The previous prime is 3112186668181. The next prime is 3112186668223. The reversal of 3112186668192 is 2918666812113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629612473 + ... + 629617415.

It is an arithmetic number, because the mean of its divisors is an integer number (18707008320).

Almost surely, 2^{3112186668192} is an apocalyptic number.

3112186668192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112186668192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387618396160).

3112186668192 is an abundant number, since it is smaller than the sum of its proper divisors (7663050124128).

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

3112186668192 is a wasteful number, since it uses less digits than its factorization.

3112186668192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287 (or 5267 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 3112186668192 in words is "three trillion, one hundred twelve billion, one hundred eighty-six million, six hundred sixty-eight thousand, one hundred ninety-two".