12742503174345 has 256 divisors, whose sum is σ = 25111695458304. Its totient is φ = 5394356352000.

The previous prime is 12742503174319. The next prime is 12742503174347. The reversal of 12742503174345 is 54347130524721.

It is not a de Polignac number, because 12742503174345 - 2¹¹ = 12742503172297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12742503174294 and 12742503174303.

It is not an unprimeable number, because it can be changed into a prime (12742503174347) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3993261700 + ... + 3993264890.

It is an arithmetic number, because the mean of its divisors is an integer number (98092560384).

Almost surely, 2^{12742503174345} is an apocalyptic number.

12742503174345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12742503174345 is a deficient number, since it is larger than the sum of its proper divisors (12369192283959).

12742503174345 is a wasteful number, since it uses less digits than its factorization.

12742503174345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812.

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 12742503174345 in words is "twelve trillion, seven hundred forty-two billion, five hundred three million, one hundred seventy-four thousand, three hundred forty-five".