3313957002048 has 1008 divisors, whose sum is σ = 12707552789568. Its totient is φ = 846526464000.

The previous prime is 3313957002029. The next prime is 3313957002061. The reversal of 3313957002048 is 8402007593133.

3313957002048 is a `hidden beast` number, since 3 + 3 + 1 + 39 + 570 + 0 + 2 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3313957002048² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3313957001994 and 3313957002012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 511330968 + ... + 511337448.

It is an arithmetic number, because the mean of its divisors is an integer number (12606699196).

Almost surely, 2^{3313957002048} 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 3313957002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353776394784).

3313957002048 is an abundant number, since it is smaller than the sum of its proper divisors (9393595787520).

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

3313957002048 is a wasteful number, since it uses less digits than its factorization.

3313957002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3313957002048 in words is "three trillion, three hundred thirteen billion, nine hundred fifty-seven million, two thousand, forty-eight".