13551091008 has 448 divisors, whose sum is σ = 46143111168. Its totient is φ = 3413975040.

The previous prime is 13551090997. The next prime is 13551091091. The reversal of 13551091008 is 80019015531.

13551091008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 13551091008.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 68787166 + ... + 68787362.

It is an arithmetic number, because the mean of its divisors is an integer number (102998016).

Almost surely, 2^13551091008 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 13551091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23071555584).

13551091008 is an abundant number, since it is smaller than the sum of its proper divisors (32592020160).

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

13551091008 is a wasteful number, since it uses less digits than its factorization.

13551091008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 13551091008 in words is "thirteen billion, five hundred fifty-one million, ninety-one thousand, eight".