13943181312 has 312 divisors, whose sum is σ = 44927307360. Its totient is φ = 4140564480.

The previous prime is 13943181281. The next prime is 13943181319. The reversal of 13943181312 is 21318134931.

13943181312 is a `hidden beast` number, since 139 + 431 + 81 + 3 + 12 = 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 not an unprimeable number, because it can be changed into a prime (13943181319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11906487 + ... + 11907657.

It is an arithmetic number, because the mean of its divisors is an integer number (143997780).

Almost surely, 2^13943181312 is an apocalyptic number.

13943181312 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 13943181312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22463653680).

13943181312 is an abundant number, since it is smaller than the sum of its proper divisors (30984126048).

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

13943181312 is a wasteful number, since it uses less digits than its factorization.

13943181312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1212 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 13943181312 in words is "thirteen billion, nine hundred forty-three million, one hundred eighty-one thousand, three hundred twelve".