3012985924416 has 168 divisors, whose sum is σ = 9600518613504. Its totient is φ = 897166955520.

The previous prime is 3012985924379. The next prime is 3012985924433. The reversal of 3012985924416 is 6144295892103.

It is a happy number.

3012985924416 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 9 + 8 + 592 + 4 + 41 + 6 = 666.

3012985924416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6257796 + ... + 6722051.

It is an arithmetic number, because the mean of its divisors is an integer number (57145944128).

Almost surely, 2^{3012985924416} is an apocalyptic number.

3012985924416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3012985924416 is an abundant number, since it is smaller than the sum of its proper divisors (6587532689088).

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

3012985924416 is a wasteful number, since it uses less digits than its factorization.

3012985924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12979909 (or 12979896 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3012985924416 in words is "three trillion, twelve billion, nine hundred eighty-five million, nine hundred twenty-four thousand, four hundred sixteen".