13345843852800 has 720 divisors, whose sum is σ = 50811811242192. Its totient is φ = 3333567283200.

The previous prime is 13345843852787. The next prime is 13345843852807. The reversal of 13345843852800 is 825834854331.

13345843852800 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 5 + 84 + 38 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13345843852800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345843852807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413206252 + ... + 413238548.

Almost surely, 2^{13345843852800} is an apocalyptic number.

13345843852800 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 13345843852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25405905621096).

13345843852800 is an abundant number, since it is smaller than the sum of its proper divisors (37465967389392).

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

13345843852800 is a wasteful number, since it uses less digits than its factorization.

13345843852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32559 (or 32535 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 13345843852800 in words is "thirteen trillion, three hundred forty-five billion, eight hundred forty-three million, eight hundred fifty-two thousand, eight hundred".