3146874004512 has 288 divisors, whose sum is σ = 10852793183232. Its totient is φ = 878196743424.

The previous prime is 3146874004487. The next prime is 3146874004577. The reversal of 3146874004512 is 2154004786413.

3146874004512 is a `hidden beast` number, since 3 + 1 + 4 + 68 + 74 + 0 + 0 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668333 + ... + 3012819.

It is an arithmetic number, because the mean of its divisors is an integer number (37683309664).

Almost surely, 2^{3146874004512} is an apocalyptic number.

3146874004512 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 3146874004512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426396591616).

3146874004512 is an abundant number, since it is smaller than the sum of its proper divisors (7705919178720).

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

3146874004512 is a wasteful number, since it uses less digits than its factorization.

3146874004512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344562 (or 1344542 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3146874004512 in words is "three trillion, one hundred forty-six billion, eight hundred seventy-four million, four thousand, five hundred twelve".