13454424000000 has 1120 divisors, whose sum is σ = 50462025952800. Its totient is φ = 3583180800000.

The previous prime is 13454423999981. The next prime is 13454424000001. The reversal of 13454424000000 is 42445431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13454424000001) 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 111 ways as a sum of consecutive naturals, for example, 17495999616 + ... + 17496000384.

It is an arithmetic number, because the mean of its divisors is an integer number (45055380315).

Almost surely, 2^{13454424000000} is an apocalyptic number.

13454424000000 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 13454424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25231012976400).

13454424000000 is an abundant number, since it is smaller than the sum of its proper divisors (37007601952800).

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

13454424000000 is an frugal number, since it uses more digits than its factorization.

13454424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 13454424000000 its reverse (42445431), we get a palindrome (13454466445431).

The spelling of 13454424000000 in words is "thirteen trillion, four hundred fifty-four billion, four hundred twenty-four million", and thus it is an aban number.