13114345305600 has 2880 divisors, whose sum is σ = 64269953459712. Its totient is φ = 2563964928000.

The previous prime is 13114345305599. The next prime is 13114345305653. The reversal of 13114345305600 is 650354341131.

13114345305600 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 3 + 45 + 3 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 4071511990 + ... + 4071515210.

Almost surely, 2^{13114345305600} is an apocalyptic number.

13114345305600 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 13114345305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32134976729856).

13114345305600 is an abundant number, since it is smaller than the sum of its proper divisors (51155608154112).

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

13114345305600 is a wasteful number, since it uses less digits than its factorization.

13114345305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13114345305600 its reverse (650354341131), we get a palindrome (13764699646731).

The spelling of 13114345305600 in words is "thirteen trillion, one hundred fourteen billion, three hundred forty-five million, three hundred five thousand, six hundred".