12034314509616 has 80 divisors (see below), whose sum is σ = 39477645491200. Its totient is φ = 3438375573312.

The previous prime is 12034314509579. The next prime is 12034314509621. The reversal of 12034314509616 is 61690541343021.

12034314509616 is a `hidden beast` number, since 1 + 20 + 3 + 4 + 3 + 1 + 4 + 5 + 0 + 9 + 616 = 666.

12034314509616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1989797656 + ... + 1989803703.

It is an arithmetic number, because the mean of its divisors is an integer number (493470568640).

Almost surely, 2^{12034314509616} is an apocalyptic number.

12034314509616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12034314509616 is an abundant number, since it is smaller than the sum of its proper divisors (27443330981584).

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

12034314509616 is a wasteful number, since it uses less digits than its factorization.

12034314509616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979601383 (or 3979601371 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12034314509616 in words is "twelve trillion, thirty-four billion, three hundred fourteen million, five hundred nine thousand, six hundred sixteen".