12818438517000 has 128 divisors (see below), whose sum is σ = 40347454268160. Its totient is φ = 3388000179200.

The previous prime is 12818438516993. The next prime is 12818438517011. The reversal of 12818438517000 is 71583481821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18567252 + ... + 19245251.

It is an arithmetic number, because the mean of its divisors is an integer number (315214486470).

Almost surely, 2^{12818438517000} is an apocalyptic number.

12818438517000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12818438517000 is an abundant number, since it is smaller than the sum of its proper divisors (27529015751160).

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

12818438517000 is a wasteful number, since it uses less digits than its factorization.

12818438517000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37812640 (or 37812626 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 12818438517000 in words is "twelve trillion, eight hundred eighteen billion, four hundred thirty-eight million, five hundred seventeen thousand".