13836343248 has 720 divisors, whose sum is σ = 54182157120. Its totient is φ = 3246759936.

The previous prime is 13836343217. The next prime is 13836343291. The reversal of 13836343248 is 84234363831.

13836343248 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 634 + 3 + 2 + 4 + 8 = 666.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 29627911 + ... + 29628377.

It is an arithmetic number, because the mean of its divisors is an integer number (75252996).

Almost surely, 2^13836343248 is an apocalyptic number.

13836343248 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 13836343248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27091078560).

13836343248 is an abundant number, since it is smaller than the sum of its proper divisors (40345813872).

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

13836343248 is a wasteful number, since it uses less digits than its factorization.

13836343248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 528 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 13836343248 in words is "thirteen billion, eight hundred thirty-six million, three hundred forty-three thousand, two hundred forty-eight".