3066391062144 has 1152 divisors, whose sum is σ = 10246742438400. Its totient is φ = 877523632128.

The previous prime is 3066391062143. The next prime is 3066391062253. The reversal of 3066391062144 is 4412601936603.

3066391062144 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 3 + 9 + 10 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 3066391062144.

It is not an unprimeable number, because it can be changed into a prime (3066391062143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22382416444 + ... + 22382416580.

It is an arithmetic number, because the mean of its divisors is an integer number (8894741700).

Almost surely, 2^{3066391062144} is an apocalyptic number.

3066391062144 is a gapful number since it is divisible by the number (34) 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 3066391062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123371219200).

3066391062144 is an abundant number, since it is smaller than the sum of its proper divisors (7180351376256).

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

3066391062144 is a wasteful number, since it uses less digits than its factorization.

3066391062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

Adding to 3066391062144 its reverse (4412601936603), we get a palindrome (7478992998747).

The spelling of 3066391062144 in words is "three trillion, sixty-six billion, three hundred ninety-one million, sixty-two thousand, one hundred forty-four".