12631369121536 has 144 divisors (see below), whose sum is σ = 28363028150016. Its totient is φ = 5564390400000.

The previous prime is 12631369121521. The next prime is 12631369121549. The reversal of 12631369121536 is 63512196313621.

It is a self number, because there is not a number n which added to its sum of digits gives 12631369121536.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17071591 + ... + 17796121.

It is an arithmetic number, because the mean of its divisors is an integer number (196965473264).

Almost surely, 2^{12631369121536} is an apocalyptic number.

12631369121536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12631369121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181514075008).

12631369121536 is an abundant number, since it is smaller than the sum of its proper divisors (15731659028480).

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

12631369121536 is a wasteful number, since it uses less digits than its factorization.

12631369121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724750 (or 724736 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 49.

The spelling of 12631369121536 in words is "twelve trillion, six hundred thirty-one billion, three hundred sixty-nine million, one hundred twenty-one thousand, five hundred thirty-six".