13705798718216 has 128 divisors (see below), whose sum is σ = 29123297280000. Its totient is φ = 5989831061760.

The previous prime is 13705798718203. The next prime is 13705798718233. The reversal of 13705798718216 is 61281789750731.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637379321 + ... + 637400823.

It is an arithmetic number, because the mean of its divisors is an integer number (227525760000).

Almost surely, 2^{13705798718216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13705798718216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561648640000).

13705798718216 is an abundant number, since it is smaller than the sum of its proper divisors (15417498561784).

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

13705798718216 is a wasteful number, since it uses less digits than its factorization.

13705798718216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22587 (or 22583 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 65.

The spelling of 13705798718216 in words is "thirteen trillion, seven hundred five billion, seven hundred ninety-eight million, seven hundred eighteen thousand, two hundred sixteen".