12349716201480 has 768 divisors, whose sum is σ = 45290367682560. Its totient is φ = 2683086336000.

The previous prime is 12349716201463. The next prime is 12349716201509. The reversal of 12349716201480 is 8410261794321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4841126205 + ... + 4841128755.

It is an arithmetic number, because the mean of its divisors is an integer number (58971832920).

Almost surely, 2^{12349716201480} is an apocalyptic number.

12349716201480 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 12349716201480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22645183841280).

12349716201480 is an abundant number, since it is smaller than the sum of its proper divisors (32940651481080).

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

12349716201480 is a wasteful number, since it uses less digits than its factorization.

12349716201480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 12349716201480 in words is "twelve trillion, three hundred forty-nine billion, seven hundred sixteen million, two hundred one thousand, four hundred eighty".