3313681386048 has 224 divisors, whose sum is σ = 10703673792000. Its totient is φ = 996921008640.

The previous prime is 3313681386013. The next prime is 3313681386073. The reversal of 3313681386048 is 8406831863133.

3313681386048 is a `hidden beast` number, since 3 + 3 + 13 + 6 + 8 + 13 + 8 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3313681385985 and 3313681386003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2015023 + ... + 3269201.

It is an arithmetic number, because the mean of its divisors is an integer number (47784258000).

Almost surely, 2^{3313681386048} 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 3313681386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351836896000).

3313681386048 is an abundant number, since it is smaller than the sum of its proper divisors (7389992405952).

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

3313681386048 is a wasteful number, since it uses less digits than its factorization.

3313681386048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254350 (or 1254334 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3313681386048 in words is "three trillion, three hundred thirteen billion, six hundred eighty-one million, three hundred eighty-six thousand, forty-eight".