13332791808 has 390 divisors, whose sum is σ = 46483255071. Its totient is φ = 3809369088.

The previous prime is 13332791737. The next prime is 13332791867. The reversal of 13332791808 is 80819723331.

It is a happy number.

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 only one way, i.e., 6666395904 + 6666395904 = 81648^2 + 81648^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=81648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 1904684541 + ... + 1904684547.

Almost surely, 2^13332791808 is an apocalyptic number.

13332791808 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 13332791808

13332791808 is an abundant number, since it is smaller than the sum of its proper divisors (33150463263).

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

13332791808 is an frugal number, since it uses more digits than its factorization.

13332791808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13332791808 in words is "thirteen billion, three hundred thirty-two million, seven hundred ninety-one thousand, eight hundred eight".