12634507724616 has 24 divisors (see below), whose sum is σ = 34218458421030. Its totient is φ = 4211502574848.

The previous prime is 12634507724609. The next prime is 12634507724651. The reversal of 12634507724616 is 61642770543621.

12634507724616 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 4 + 507 + 72 + 4 + 61 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7303257622116 + 5331250102500 = 2702454^2 + 2308950^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87739636905 + ... + 87739637048.

Almost surely, 2^{12634507724616} is an apocalyptic number.

It is an amenable number.

12634507724616 is an abundant number, since it is smaller than the sum of its proper divisors (21583950696414).

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

12634507724616 is a wasteful number, since it uses less digits than its factorization.

12634507724616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175479273965 (or 175479273958 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 12634507724616 in words is "twelve trillion, six hundred thirty-four billion, five hundred seven million, seven hundred twenty-four thousand, six hundred sixteen".