12903534336 has 576 divisors, whose sum is σ = 45775134720. Its totient is φ = 3127787520.

The previous prime is 12903534323. The next prime is 12903534337. The reversal of 12903534336 is 63343530921.

It is a junction number, because it is equal to n+sod(n) for n = 12903534294 and 12903534303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903534337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72086695 + ... + 72086873.

It is an arithmetic number, because the mean of its divisors is an integer number (79470720).

Almost surely, 2^12903534336 is an apocalyptic number.

12903534336 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 12903534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22887567360).

12903534336 is an abundant number, since it is smaller than the sum of its proper divisors (32871600384).

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

12903534336 is a wasteful number, since it uses less digits than its factorization.

12903534336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 39.

The spelling of 12903534336 in words is "twelve billion, nine hundred three million, five hundred thirty-four thousand, three hundred thirty-six".