13743168000 has 320 divisors, whose sum is σ = 47186979840. Its totient is φ = 3545088000.

The previous prime is 13743167993. The next prime is 13743168007. The reversal of 13743168000 is 86134731.

It is an interprime number because it is at equal distance from previous prime (13743167993) and next prime (13743168007).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (13743168007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5950846 + ... + 5953154.

It is an arithmetic number, because the mean of its divisors is an integer number (147459312).

Almost surely, 2^13743168000 is an apocalyptic number.

13743168000 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 13743168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23593489920).

13743168000 is an abundant number, since it is smaller than the sum of its proper divisors (33443811840).

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

13743168000 is an equidigital number, since it uses as much as digits as its factorization.

13743168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 13743168000 in words is "thirteen billion, seven hundred forty-three million, one hundred sixty-eight thousand".