13364607163200 has 168 divisors, whose sum is σ = 44281179468960. Its totient is φ = 3528609024000.

The previous prime is 13364607163151. The next prime is 13364607163289. The reversal of 13364607163200 is 236170646331.

It is a super-3 number, since 3×13364607163200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13298830 + ... + 14268429.

It is an arithmetic number, because the mean of its divisors is an integer number (263578449220).

Almost surely, 2^{13364607163200} is an apocalyptic number.

13364607163200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13364607163200 is an abundant number, since it is smaller than the sum of its proper divisors (30916572305760).

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

13364607163200 is a wasteful number, since it uses less digits than its factorization.

13364607163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27567385 (or 27567370 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 13364607163200 in words is "thirteen trillion, three hundred sixty-four billion, six hundred seven million, one hundred sixty-three thousand, two hundred".