13281677568 has 180 divisors, whose sum is σ = 39790721740. Its totient is φ = 4406317056.

The previous prime is 13281677537. The next prime is 13281677569. The reversal of 13281677568 is 86577618231.

It is a happy number.

13281677568 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 6 + 77 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11263152384 + 2018525184 = 106128^2 + 44928^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13281677569) 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 19 ways as a sum of consecutive naturals, for example, 4747146 + ... + 4749942.

Almost surely, 2^13281677568 is an apocalyptic number.

13281677568 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 13281677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19895360870).

13281677568 is an abundant number, since it is smaller than the sum of its proper divisors (26509044172).

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

13281677568 is an equidigital number, since it uses as much as digits as its factorization.

13281677568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3031 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 13281677568 in words is "thirteen billion, two hundred eighty-one million, six hundred seventy-seven thousand, five hundred sixty-eight".