13773114831168 has 672 divisors, whose sum is σ = 51667667251200. Its totient is φ = 3401359441920.

The previous prime is 13773114831167. The next prime is 13773114831181. The reversal of 13773114831168 is 86113841137731.

It is a happy number.

13773114831168 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 311 + 4 + 8 + 311 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13773114831167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170315608 + ... + 170396456.

It is an arithmetic number, because the mean of its divisors is an integer number (76886409600).

Almost surely, 2^{13773114831168} is an apocalyptic number.

13773114831168 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 13773114831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833833625600).

13773114831168 is an abundant number, since it is smaller than the sum of its proper divisors (37894552420032).

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

13773114831168 is a wasteful number, since it uses less digits than its factorization.

13773114831168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81075 (or 81062 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

Adding to 13773114831168 its reverse (86113841137731), we get a palindrome (99886955968899).

The spelling of 13773114831168 in words is "thirteen trillion, seven hundred seventy-three billion, one hundred fourteen million, eight hundred thirty-one thousand, one hundred sixty-eight".