13412736288 has 432 divisors, whose sum is σ = 45980887680. Its totient is φ = 3695956992.

The previous prime is 13412736229. The next prime is 13412736289. The reversal of 13412736288 is 88263721431.

13412736288 is a `hidden beast` number, since 1 + 3 + 4 + 12 + 7 + 3 + 628 + 8 = 666.

13412736288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13412736289) 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 71 ways as a sum of consecutive naturals, for example, 59086831 + ... + 59087057.

It is an arithmetic number, because the mean of its divisors is an integer number (106437240).

Almost surely, 2^13412736288 is an apocalyptic number.

13412736288 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 13412736288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22990443840).

13412736288 is an abundant number, since it is smaller than the sum of its proper divisors (32568151392).

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

13412736288 is a wasteful number, since it uses less digits than its factorization.

13412736288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

It can be divided in two parts, 13412 and 736288, that added together give a triangular number (749700 = T₁₂₂₄).

The spelling of 13412736288 in words is "thirteen billion, four hundred twelve million, seven hundred thirty-six thousand, two hundred eighty-eight".