13835847168 has 400 divisors, whose sum is σ = 48536799696. Its totient is φ = 3868508160.

The previous prime is 13835847163. The next prime is 13835847209. The reversal of 13835847168 is 86174853831.

It is a happy number.

13835847168 is a `hidden beast` number, since 138 + 35 + 8 + 471 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13835847161) 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 39 ways as a sum of consecutive naturals, for example, 5929330 + ... + 5931662.

Almost surely, 2^13835847168 is an apocalyptic number.

13835847168 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 13835847168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24268399848).

13835847168 is an abundant number, since it is smaller than the sum of its proper divisors (34700952528).

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

13835847168 is a wasteful number, since it uses less digits than its factorization.

13835847168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2362 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 13835847168 in words is "thirteen billion, eight hundred thirty-five million, eight hundred forty-seven thousand, one hundred sixty-eight".