3144516012 has 192 divisors, whose sum is σ = 9160704000. Its totient is φ = 924644160.

The previous prime is 3144516007. The next prime is 3144516029. The reversal of 3144516012 is 2106154413.

It is a happy number.

3144516012 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 51 + 601 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 11111223 + ... + 11111505.

It is an arithmetic number, because the mean of its divisors is an integer number (47712000).

Almost surely, 2^3144516012 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 3144516012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580352000).

3144516012 is an abundant number, since it is smaller than the sum of its proper divisors (6016187988).

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

3144516012 is a wasteful number, since it uses less digits than its factorization.

3144516012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3144516012 is about 56075.9842713438. The cubic root of 3144516012 is about 1465.0460308507.

The spelling of 3144516012 in words is "three billion, one hundred forty-four million, five hundred sixteen thousand, twelve".