12645412635648 has 528 divisors, whose sum is σ = 38165230515776. Its totient is φ = 3700045578240.

The previous prime is 12645412635637. The next prime is 12645412635673. The reversal of 12645412635648 is 84653621454621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3823830411 + ... + 3823833717.

Almost surely, 2^{12645412635648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12645412635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19082615257888).

12645412635648 is an abundant number, since it is smaller than the sum of its proper divisors (25519817880128).

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

12645412635648 is a wasteful number, since it uses less digits than its factorization.

12645412635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3529 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 57.

The spelling of 12645412635648 in words is "twelve trillion, six hundred forty-five billion, four hundred twelve million, six hundred thirty-five thousand, six hundred forty-eight".