3305158943616 has 512 divisors, whose sum is σ = 10005612480000. Its totient is φ = 1073889755136.

The previous prime is 3305158943599. The next prime is 3305158943689. The reversal of 3305158943616 is 6163498515033.

3305158943616 is a `hidden beast` number, since 3 + 3 + 0 + 5 + 1 + 589 + 43 + 6 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9524953555 + ... + 9524953901.

It is an arithmetic number, because the mean of its divisors is an integer number (19542211875).

Almost surely, 2^{3305158943616} is an apocalyptic number.

3305158943616 is a gapful number since it is divisible by the number (36) 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 3305158943616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002806240000).

3305158943616 is an abundant number, since it is smaller than the sum of its proper divisors (6700453536384).

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

3305158943616 is a wasteful number, since it uses less digits than its factorization.

3305158943616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 3305158943616 in words is "three trillion, three hundred five billion, one hundred fifty-eight million, nine hundred forty-three thousand, six hundred sixteen".