12818191680 has 336 divisors, whose sum is σ = 52256131200. Its totient is φ = 2929747968.

The previous prime is 12818191679. The next prime is 12818191697. The reversal of 12818191680 is 8619181821.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 532546 + ... + 556094.

It is an arithmetic number, because the mean of its divisors is an integer number (155524200).

Almost surely, 2^12818191680 is an apocalyptic number.

12818191680 is a gapful number since it is divisible by the number (10) 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 12818191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26128065600).

12818191680 is an abundant number, since it is smaller than the sum of its proper divisors (39437939520).

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

12818191680 is an equidigital number, since it uses as much as digits as its factorization.

12818191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23588 (or 23566 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 12818191680 in words is "twelve billion, eight hundred eighteen million, one hundred ninety-one thousand, six hundred eighty".