13333275648 has 352 divisors, whose sum is σ = 49238046720. Its totient is φ = 3462635520.

The previous prime is 13333275643. The next prime is 13333275653. The reversal of 13333275648 is 84657233331.

13333275648 is a `hidden beast` number, since 1 + 3 + 333 + 275 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (13333275643) and next prime (13333275653).

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (13333275643) 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 31 ways as a sum of consecutive naturals, for example, 2125765 + ... + 2132027.

Almost surely, 2^13333275648 is an apocalyptic number.

13333275648 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 13333275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24619023360).

13333275648 is an abundant number, since it is smaller than the sum of its proper divisors (35904771072).

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

13333275648 is a wasteful number, since it uses less digits than its factorization.

13333275648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6286 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 13333275648 in words is "thirteen billion, three hundred thirty-three million, two hundred seventy-five thousand, six hundred forty-eight".