14673091680 has 960 divisors, whose sum is σ = 60857153280. Its totient is φ = 3296526336.

The previous prime is 14673091679. The next prime is 14673091733. The reversal of 14673091680 is 8619037641.

It is a happy number.

It is a super-3 number, since 3×14673091680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134615466 + ... + 134615574.

It is an arithmetic number, because the mean of its divisors is an integer number (63392868).

Almost surely, 2^14673091680 is an apocalyptic number.

14673091680 is a gapful number since it is divisible by the number (10) 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 14673091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30428576640).

14673091680 is an abundant number, since it is smaller than the sum of its proper divisors (46184061600).

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

14673091680 is a wasteful number, since it uses less digits than its factorization.

14673091680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14673091680 in words is "fourteen billion, six hundred seventy-three million, ninety-one thousand, six hundred eighty".