12634013555625 has 640 divisors, whose sum is σ = 28818423152640. Its totient is φ = 4762800000000.

The previous prime is 12634013555503. The next prime is 12634013555627. The reversal of 12634013555625 is 52655531043621.

It is not a de Polignac number, because 12634013555625 - 2⁷ = 12634013555497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12634013555627) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 8588723640 + ... + 8588725110.

It is an arithmetic number, because the mean of its divisors is an integer number (45028786176).

Almost surely, 2^{12634013555625} is an apocalyptic number.

12634013555625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12634013555625 is an abundant number, since it is smaller than the sum of its proper divisors (16184409597015).

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

12634013555625 is a wasteful number, since it uses less digits than its factorization.

12634013555625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 12634013555625 in words is "twelve trillion, six hundred thirty-four billion, thirteen million, five hundred fifty-five thousand, six hundred twenty-five".