13666738176 has 672 divisors, whose sum is σ = 51248645280. Its totient is φ = 3567255552.

The previous prime is 13666738153. The next prime is 13666738177. The reversal of 13666738176 is 67183766631.

It is a happy number.

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

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

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 (13666738177) 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 47 ways as a sum of consecutive naturals, for example, 140894160 + ... + 140894256.

It is an arithmetic number, because the mean of its divisors is an integer number (76262865).

Almost surely, 2^13666738176 is an apocalyptic number.

13666738176 is a gapful number since it is divisible by the number (16) 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 13666738176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25624322640).

13666738176 is an abundant number, since it is smaller than the sum of its proper divisors (37581907104).

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

13666738176 is an equidigital number, since it uses as much as digits as its factorization.

13666738176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 122 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 13666738176 in words is "thirteen billion, six hundred sixty-six million, seven hundred thirty-eight thousand, one hundred seventy-six".