14166680000 has 210 divisors, whose sum is σ = 38625798288. Its totient is φ = 5149760000.

The previous prime is 14166679963. The next prime is 14166680009. The reversal of 14166680000 is 8666141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14166680009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4838537 + ... + 4841463.

Almost surely, 2^14166680000 is an apocalyptic number.

14166680000 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 14166680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312899144).

14166680000 is an abundant number, since it is smaller than the sum of its proper divisors (24459118288).

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

14166680000 is an equidigital number, since it uses as much as digits as its factorization.

14166680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 14166680000 in words is "fourteen billion, one hundred sixty-six million, six hundred eighty thousand".