13705674352288 has 96 divisors (see below), whose sum is σ = 27252482503680. Its totient is φ = 6784839264000.

The previous prime is 13705674352241. The next prime is 13705674352289. The reversal of 13705674352288 is 88225347650731.

It is not an unprimeable number, because it can be changed into a prime (13705674352289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126827295 + ... + 1126839457.

It is an arithmetic number, because the mean of its divisors is an integer number (283880026080).

Almost surely, 2^{13705674352288} is an apocalyptic number.

It is an amenable number.

13705674352288 is a deficient number, since it is larger than the sum of its proper divisors (13546808151392).

13705674352288 is a wasteful number, since it uses less digits than its factorization.

13705674352288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13250 (or 13242 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 61.

The spelling of 13705674352288 in words is "thirteen trillion, seven hundred five billion, six hundred seventy-four million, three hundred fifty-two thousand, two hundred eighty-eight".