13424500000000 has 180 divisors, whose sum is σ = 33496944812100. Its totient is φ = 5369600000000.

The previous prime is 13424499999997. The next prime is 13424500000003. The reversal of 13424500000000 is 542431.

It is an interprime number because it is at equal distance from previous prime (13424499999997) and next prime (13424500000003).

It can be written as a sum of positive squares in 10 ways, for example, as 11677828096 + 13412822171904 = 108064^2 + 3662352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424500000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 499986576 + ... + 500013424.

It is an arithmetic number, because the mean of its divisors is an integer number (186094137845).

Almost surely, 2^{13424500000000} is an apocalyptic number.

13424500000000 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 13424500000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748472406050).

13424500000000 is an abundant number, since it is smaller than the sum of its proper divisors (20072444812100).

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

13424500000000 is an frugal number, since it uses more digits than its factorization.

13424500000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26910 (or 26856 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 13424500000000 its reverse (542431), we get a palindrome (13424500542431).

The spelling of 13424500000000 in words is "thirteen trillion, four hundred twenty-four billion, five hundred million", and thus it is an aban number.