14145166080 has 576 divisors, whose sum is σ = 52776407040. Its totient is φ = 3627970560.

The previous prime is 14145166069. The next prime is 14145166097. The reversal of 14145166080 is 8066154141.

14145166080 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 516 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86780079 + ... + 86780241.

Almost surely, 2^14145166080 is an apocalyptic number.

14145166080 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 14145166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26388203520).

14145166080 is an abundant number, since it is smaller than the sum of its proper divisors (38631240960).

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

14145166080 is an frugal number, since it uses more digits than its factorization.

14145166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14145166080 in words is "fourteen billion, one hundred forty-five million, one hundred sixty-six thousand, eighty".