13364368000 has 128 divisors (see below), whose sum is σ = 33774333840. Its totient is φ = 5257728000.

The previous prime is 13364367869. The next prime is 13364368021. The reversal of 13364368000 is 86346331.

It can be written as a sum of positive squares in 8 ways, for example, as 840072256 + 12524295744 = 28984^2 + 111912^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 969154 + ... + 982846.

Almost surely, 2^13364368000 is an apocalyptic number.

13364368000 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 13364368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887166920).

13364368000 is an abundant number, since it is smaller than the sum of its proper divisors (20409965840).

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

13364368000 is an equidigital number, since it uses as much as digits as its factorization.

13364368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13783 (or 13761 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 13364368000 in words is "thirteen billion, three hundred sixty-four million, three hundred sixty-eight thousand".