13346204861600 has 216 divisors, whose sum is σ = 35459634852180. Its totient is φ = 4902805340160.

The previous prime is 13346204861597. The next prime is 13346204861609. The reversal of 13346204861600 is 616840264331.

It can be written as a sum of positive squares in 18 ways, for example, as 2808935776144 + 10537269085456 = 1675988^2 + 3246116^2 .

It is not an unprimeable number, because it can be changed into a prime (13346204861609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26383856 + ... + 26884944.

Almost surely, 2^{13346204861600} is an apocalyptic number.

13346204861600 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 13346204861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729817426090).

13346204861600 is an abundant number, since it is smaller than the sum of its proper divisors (22113429990580).

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

13346204861600 is a wasteful number, since it uses less digits than its factorization.

13346204861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501332 (or 501306 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 13346204861600 in words is "thirteen trillion, three hundred forty-six billion, two hundred four million, eight hundred sixty-one thousand, six hundred".