3385313163456 has 336 divisors, whose sum is σ = 11201107392000. Its totient is φ = 896826857472.

The previous prime is 3385313163451. The next prime is 3385313163509. The reversal of 3385313163456 is 6543613135833.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3385313163456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3385313163399 and 3385313163408.

It is not an unprimeable number, because it can be changed into a prime (3385313163451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8199870 + ... + 8602818.

Almost surely, 2^{3385313163456} 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 3385313163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600553696000).

3385313163456 is an abundant number, since it is smaller than the sum of its proper divisors (7815794228544).

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

3385313163456 is a wasteful number, since it uses less digits than its factorization.

3385313163456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403044 (or 403027 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 51.

The spelling of 3385313163456 in words is "three trillion, three hundred eighty-five billion, three hundred thirteen million, one hundred sixty-three thousand, four hundred fifty-six".