13529467008 has 216 divisors, whose sum is σ = 40973741445. Its totient is φ = 4284791808.

The previous prime is 13529466997. The next prime is 13529467013. The reversal of 13529467008 is 80076492531.

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.

13529467008 is a `hidden beast` number, since 13 + 529 + 46 + 70 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11115906624 + 2413560384 = 105432^2 + 49128^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=82248.

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 26 ways as a sum of consecutive naturals, for example, 90801718 + ... + 90801866.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13529467008 = 27058934016, but 3⋅13529467008 = 40588401024 is not.

Almost surely, 2^13529467008 is an apocalyptic number.

13529467008 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 13529467008

13529467008 is an abundant number, since it is smaller than the sum of its proper divisors (27444274437).

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

13529467008 is an equidigital number, since it uses as much as digits as its factorization.

13529467008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13529467008 in words is "thirteen billion, five hundred twenty-nine million, four hundred sixty-seven thousand, eight".