13214551141224 has 192 divisors, whose sum is σ = 37307025100800. Its totient is φ = 4223035035648.

The previous prime is 13214551141219. The next prime is 13214551141237. The reversal of 13214551141224 is 42214115541231.

13214551141224 is a `hidden beast` number, since 1 + 3 + 2 + 14 + 5 + 511 + 4 + 122 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29016057 + ... + 29467959.

It is an arithmetic number, because the mean of its divisors is an integer number (194307422400).

Almost surely, 2^{13214551141224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214551141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653512550400).

13214551141224 is an abundant number, since it is smaller than the sum of its proper divisors (24092473959576).

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

13214551141224 is a wasteful number, since it uses less digits than its factorization.

13214551141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452144 (or 452137 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Adding to 13214551141224 its reverse (42214115541231), we get a palindrome (55428666682455).

The spelling of 13214551141224 in words is "thirteen trillion, two hundred fourteen billion, five hundred fifty-one million, one hundred forty-one thousand, two hundred twenty-four".