13222853250048 has 528 divisors, whose sum is σ = 41656961586240. Its totient is φ = 4015384952832.

The previous prime is 13222853249987. The next prime is 13222853250053. The reversal of 13222853250048 is 84005235822231.

13222853250048 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 28 + 532 + 50 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13222853249985 and 13222853250012.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9138114861 + ... + 9138116307.

It is an arithmetic number, because the mean of its divisors is an integer number (78895760580).

Almost surely, 2^{13222853250048} is an apocalyptic number.

13222853250048 is a gapful number since it is divisible by the number (18) 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 13222853250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20828480793120).

13222853250048 is an abundant number, since it is smaller than the sum of its proper divisors (28434108336192).

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

13222853250048 is a wasteful number, since it uses less digits than its factorization.

13222853250048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 13222853250048 in words is "thirteen trillion, two hundred twenty-two billion, eight hundred fifty-three million, two hundred fifty thousand, forty-eight".