13284883968 has 160 divisors (see below), whose sum is σ = 36064334592. Its totient is φ = 4345036800.

The previous prime is 13284883967. The next prime is 13284883987. The reversal of 13284883968 is 86938848231.

13284883968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13284883967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20724928 + ... + 20725568.

Almost surely, 2^13284883968 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 13284883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032167296).

13284883968 is an abundant number, since it is smaller than the sum of its proper divisors (22779450624).

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

13284883968 is a wasteful number, since it uses less digits than its factorization.

13284883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 880 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 60.

The spelling of 13284883968 in words is "thirteen billion, two hundred eighty-four million, eight hundred eighty-three thousand, nine hundred sixty-eight".