13522887968 has 54 divisors (see below), whose sum is σ = 27147341403. Its totient is φ = 6630865920.

The previous prime is 13522887947. The next prime is 13522888003. The reversal of 13522887968 is 86978822531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 45535504 + 13477352464 = 6748^2 + 116092^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=82228.

It is a super-4 number, since 4×13522887968⁴ (a number of 42 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40127096 + ... + 40127432.

Almost surely, 2^13522887968 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 13522887968

13522887968 is an abundant number, since it is smaller than the sum of its proper divisors (13624453435).

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

13522887968 is an frugal number, since it uses more digits than its factorization.

13522887968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 400 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 59.

The spelling of 13522887968 in words is "thirteen billion, five hundred twenty-two million, eight hundred eighty-seven thousand, nine hundred sixty-eight".