13645032812800 has 216 divisors, whose sum is σ = 34897788898560. Its totient is φ = 5276686540800.

The previous prime is 13645032812777. The next prime is 13645032812819. The reversal of 13645032812800 is 821823054631.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202135854 + ... + 202203346.

Almost surely, 2^{13645032812800} is an apocalyptic number.

13645032812800 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 13645032812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448894449280).

13645032812800 is an abundant number, since it is smaller than the sum of its proper divisors (21252756085760).

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

13645032812800 is a wasteful number, since it uses less digits than its factorization.

13645032812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68569 (or 68550 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 13645032812800 in words is "thirteen trillion, six hundred forty-five billion, thirty-two million, eight hundred twelve thousand, eight hundred".