13563373972224 has 144 divisors (see below), whose sum is σ = 36369127468800. Its totient is φ = 4487231705088.

The previous prime is 13563373972223. The next prime is 13563373972241. The reversal of 13563373972224 is 42227937336531.

It is a super-2 number, since 2×13563373972224² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13563373972223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386744962 + ... + 386780030.

It is an arithmetic number, because the mean of its divisors is an integer number (252563385200).

Almost surely, 2^{13563373972224} 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 13563373972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184563734400).

13563373972224 is an abundant number, since it is smaller than the sum of its proper divisors (22805753496576).

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

13563373972224 is a wasteful number, since it uses less digits than its factorization.

13563373972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38850 (or 38836 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 57.

The spelling of 13563373972224 in words is "thirteen trillion, five hundred sixty-three billion, three hundred seventy-three million, nine hundred seventy-two thousand, two hundred twenty-four".