13386143232 has 480 divisors, whose sum is σ = 49760815104. Its totient is φ = 3361996800.

The previous prime is 13386143227. The next prime is 13386143233. The reversal of 13386143232 is 23234168331.

13386143232 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 614 + 3 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13386143233) 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 47 ways as a sum of consecutive naturals, for example, 10998688 + ... + 10999904.

Almost surely, 2^13386143232 is an apocalyptic number.

13386143232 is a gapful number since it is divisible by the number (12) 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 13386143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24880407552).

13386143232 is an abundant number, since it is smaller than the sum of its proper divisors (36374671872).

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

13386143232 is a wasteful number, since it uses less digits than its factorization.

13386143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1271 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 13386143232 in words is "thirteen billion, three hundred eighty-six million, one hundred forty-three thousand, two hundred thirty-two".