13286619468 has 144 divisors (see below), whose sum is σ = 36062208000. Its totient is φ = 4115422080.

The previous prime is 13286619431. The next prime is 13286619469. The reversal of 13286619468 is 86491668231.

13286619468 is a `hidden beast` number, since 13 + 2 + 8 + 6 + 619 + 4 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13286619469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6439405 + ... + 6441467.

It is an arithmetic number, because the mean of its divisors is an integer number (250432000).

Almost surely, 2^13286619468 is an apocalyptic number.

13286619468 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 13286619468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18031104000).

13286619468 is an abundant number, since it is smaller than the sum of its proper divisors (22775588532).

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

13286619468 is a wasteful number, since it uses less digits than its factorization.

13286619468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2327 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 13286619468 in words is "thirteen billion, two hundred eighty-six million, six hundred nineteen thousand, four hundred sixty-eight".