13222530349056 has 1728 divisors, whose sum is σ = 48218624213760. Its totient is φ = 3471633285120.

The previous prime is 13222530348997. The next prime is 13222530349057. The reversal of 13222530349056 is 65094303522231.

13222530349056 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 253 + 0 + 349 + 0 + 56 = 666.

It is a super-2 number, since 2×13222530349056² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222530349057) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100935346111 + ... + 100935346241.

It is an arithmetic number, because the mean of its divisors is an integer number (27904296420).

Almost surely, 2^{13222530349056} is an apocalyptic number.

13222530349056 is a gapful number since it is divisible by the number (16) 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 13222530349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24109312106880).

13222530349056 is an abundant number, since it is smaller than the sum of its proper divisors (34996093864704).

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

13222530349056 is a wasteful number, since it uses less digits than its factorization.

13222530349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 13222530349056 in words is "thirteen trillion, two hundred twenty-two billion, five hundred thirty million, three hundred forty-nine thousand, fifty-six".