3112180964466 has 96 divisors (see below), whose sum is σ = 7676828472960. Its totient is φ = 835761636864.

The previous prime is 3112180964461. The next prime is 3112180964471. The reversal of 3112180964466 is 6644690812113.

It is a happy number.

3112180964466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3112180964461) and next prime (3112180964471).

It is a super-4 number, since 4×3112180964466⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3112180964461) 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, 3294480 + ... + 4132548.

It is an arithmetic number, because the mean of its divisors is an integer number (79966963260).

Almost surely, 2^{3112180964466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112180964466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838414236480).

3112180964466 is an abundant number, since it is smaller than the sum of its proper divisors (4564647508494).

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

3112180964466 is a wasteful number, since it uses less digits than its factorization.

3112180964466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838848 (or 838841 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 3112180964466 in words is "three trillion, one hundred twelve billion, one hundred eighty million, nine hundred sixty-four thousand, four hundred sixty-six".