3116016304128 has 1920 divisors, whose sum is σ = 12402739918800. Its totient is φ = 770527199232.

The previous prime is 3116016304127. The next prime is 3116016304133. The reversal of 3116016304128 is 8214036106113.

3116016304128 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 0 + 1 + 630 + 4 + 12 + 8 = 666.

It is a super-3 number, since 3×3116016304128³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3116016304092 and 3116016304101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116016304127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32123879376 + ... + 32123879472.

Almost surely, 2^{3116016304128} is an apocalyptic number.

3116016304128 is a gapful number since it is divisible by the number (38) 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 3116016304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201369959400).

3116016304128 is an abundant number, since it is smaller than the sum of its proper divisors (9286723614672).

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

3116016304128 is an equidigital number, since it uses as much as digits as its factorization.

3116016304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3116016304128 in words is "three trillion, one hundred sixteen billion, sixteen million, three hundred four thousand, one hundred twenty-eight".