3066381202248 has 192 divisors, whose sum is σ = 10225921305600. Its totient is φ = 808347962880.

The previous prime is 3066381202237. The next prime is 3066381202259. The reversal of 3066381202248 is 8422021836603.

3066381202248 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 381 + 20 + 2 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (3066381202237) and next prime (3066381202259).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14446633 + ... + 14657351.

It is an arithmetic number, because the mean of its divisors is an integer number (53260006800).

Almost surely, 2^{3066381202248} 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 3066381202248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112960652800).

3066381202248 is an abundant number, since it is smaller than the sum of its proper divisors (7159540103352).

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

3066381202248 is a wasteful number, since it uses less digits than its factorization.

3066381202248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212972 (or 212965 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3066381202248 in words is "three trillion, sixty-six billion, three hundred eighty-one million, two hundred two thousand, two hundred forty-eight".