13224542346600 has 768 divisors, whose sum is σ = 45128429095680. Its totient is φ = 3184209100800.

The previous prime is 13224542346569. The next prime is 13224542346607. The reversal of 13224542346600 is 664324542231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13224542346607) 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 191 ways as a sum of consecutive naturals, for example, 31412214390 + ... + 31412214810.

It is an arithmetic number, because the mean of its divisors is an integer number (58760975385).

Almost surely, 2^{13224542346600} is an apocalyptic number.

13224542346600 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 13224542346600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22564214547840).

13224542346600 is an abundant number, since it is smaller than the sum of its proper divisors (31903886749080).

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

13224542346600 is a wasteful number, since it uses less digits than its factorization.

13224542346600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 13224542346600 its reverse (664324542231), we get a palindrome (13888866888831).

The spelling of 13224542346600 in words is "thirteen trillion, two hundred twenty-four billion, five hundred forty-two million, three hundred forty-six thousand, six hundred".