13811197790208 has 2304 divisors, whose sum is σ = 51464713547520. Its totient is φ = 3250166169600.

The previous prime is 13811197790179. The next prime is 13811197790237. The reversal of 13811197790208 is 80209779111831.

It is an interprime number because it is at equal distance from previous prime (13811197790179) and next prime (13811197790237).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166399973335 + ... + 166399973417.

It is an arithmetic number, because the mean of its divisors is an integer number (22337115255).

Almost surely, 2^{13811197790208} 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 13811197790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25732356773760).

13811197790208 is an abundant number, since it is smaller than the sum of its proper divisors (37653515757312).

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

13811197790208 is a wasteful number, since it uses less digits than its factorization.

13811197790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 57.

The spelling of 13811197790208 in words is "thirteen trillion, eight hundred eleven billion, one hundred ninety-seven million, seven hundred ninety thousand, two hundred eight".