3114161520768 has 160 divisors (see below), whose sum is σ = 9268817439420. Its totient is φ = 1037928038400.

The previous prime is 3114161520703. The next prime is 3114161520797. The reversal of 3114161520768 is 8670251614113.

3114161520768 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 1 + 61 + 520 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2730663710784 + 383497809984 = 1652472^2 + 619272^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 131050008 + ... + 131073768.

Almost surely, 2^{3114161520768} 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 3114161520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634408719710).

3114161520768 is an abundant number, since it is smaller than the sum of its proper divisors (6154655918652).

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

3114161520768 is a wasteful number, since it uses less digits than its factorization.

3114161520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36428 (or 36407 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3114161520768 in words is "three trillion, one hundred fourteen billion, one hundred sixty-one million, five hundred twenty thousand, seven hundred sixty-eight".