12635633262351 has 64 divisors (see below), whose sum is σ = 18867972372480. Its totient is φ = 7456904064000.

The previous prime is 12635633262223. The next prime is 12635633262353. The reversal of 12635633262351 is 15326233653621.

It is a happy number.

It is not a de Polignac number, because 12635633262351 - 2⁷ = 12635633262223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12635633262351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12635633262353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261740346 + ... + 261788616.

It is an arithmetic number, because the mean of its divisors is an integer number (294812068320).

Almost surely, 2^{12635633262351} is an apocalyptic number.

12635633262351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12635633262351 is a deficient number, since it is larger than the sum of its proper divisors (6232339110129).

12635633262351 is a wasteful number, since it uses less digits than its factorization.

12635633262351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49648.

The product of its digits is 3499200, while the sum is 48.

The spelling of 12635633262351 in words is "twelve trillion, six hundred thirty-five billion, six hundred thirty-three million, two hundred sixty-two thousand, three hundred fifty-one".