13148816384 has 66 divisors (see below), whose sum is σ = 28891820622. Its totient is φ = 5976678400.

The previous prime is 13148816363. The next prime is 13148816389. The reversal of 13148816384 is 48361884131.

It can be written as a sum of positive squares in only one way, i.e., 12687769600 + 461046784 = 112640^2 + 21472^2 .

It is a super-3 number, since 3×13148816384³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13148816389) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 70844 + ... + 176964.

Almost surely, 2^13148816384 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 13148816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445910311).

13148816384 is an abundant number, since it is smaller than the sum of its proper divisors (15743004238).

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

13148816384 is a wasteful number, since it uses less digits than its factorization.

13148816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106163 (or 106134 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The spelling of 13148816384 in words is "thirteen billion, one hundred forty-eight million, eight hundred sixteen thousand, three hundred eighty-four".