13823463240 has 192 divisors, whose sum is σ = 47727912960. Its totient is φ = 3596244480.

The previous prime is 13823463187. The next prime is 13823463253. The reversal of 13823463240 is 4236432831.

13823463240 is a `hidden beast` number, since 1 + 382 + 34 + 6 + 3 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13823463195 and 13823463204.

It is an unprimeable number.

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, 381177 + ... + 415863.

It is an arithmetic number, because the mean of its divisors is an integer number (248582880).

Almost surely, 2^13823463240 is an apocalyptic number.

13823463240 is a gapful number since it is divisible by the number (10) 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 13823463240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23863956480).

13823463240 is an abundant number, since it is smaller than the sum of its proper divisors (33904449720).

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

13823463240 is a wasteful number, since it uses less digits than its factorization.

13823463240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34754 (or 34738 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 13823463240 in words is "thirteen billion, eight hundred twenty-three million, four hundred sixty-three thousand, two hundred forty".