13705383168 has 72 divisors (see below), whose sum is σ = 40529249600. Its totient is φ = 4568458752.

The previous prime is 13705383161. The next prime is 13705383277. The reversal of 13705383168 is 86138350731.

13705383168 is a `hidden beast` number, since 13 + 70 + 538 + 31 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705383161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 984508 + ... + 998331.

Almost surely, 2^13705383168 is an apocalyptic number.

13705383168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13705383168 is an abundant number, since it is smaller than the sum of its proper divisors (26823866432).

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

13705383168 is an equidigital number, since it uses as much as digits as its factorization.

13705383168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982864 (or 1982844 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13705383168 in words is "thirteen billion, seven hundred five million, three hundred eighty-three thousand, one hundred sixty-eight".