3054947128416 has 288 divisors, whose sum is σ = 9113866227648. Its totient is φ = 968830156800.

The previous prime is 3054947128379. The next prime is 3054947128483. The reversal of 3054947128416 is 6148217494503.

3054947128416 is a `hidden beast` number, since 3 + 0 + 5 + 494 + 71 + 2 + 84 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1054519480 + ... + 1054522376.

It is an arithmetic number, because the mean of its divisors is an integer number (31645368846).

It is a 1-persistent number, because it is pandigital, but 2⋅3054947128416 = 6109894256832 is not.

Almost surely, 2^{3054947128416} is an apocalyptic number.

3054947128416 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 3054947128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556933113824).

3054947128416 is an abundant number, since it is smaller than the sum of its proper divisors (6058919099232).

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

3054947128416 is a wasteful number, since it uses less digits than its factorization.

3054947128416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3054947128416 in words is "three trillion, fifty-four billion, nine hundred forty-seven million, one hundred twenty-eight thousand, four hundred sixteen".