14130766172160 has 3328 divisors, whose sum is σ = 61281366220800. Its totient is φ = 3090135121920.

The previous prime is 14130766172143. The next prime is 14130766172177. The reversal of 14130766172160 is 6127166703141.

It is a happy number.

14130766172160 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 7 + 6 + 617 + 21 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14130766172143) and next prime (14130766172177).

It is a super-2 number, since 2×14130766172160² (a number of 27 digits) contains 22 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 255 ways as a sum of consecutive naturals, for example, 328622469099 + ... + 328622469141.

Almost surely, 2^{14130766172160} is an apocalyptic number.

14130766172160 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 14130766172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30640683110400).

14130766172160 is an abundant number, since it is smaller than the sum of its proper divisors (47150600048640).

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

14130766172160 is an equidigital number, since it uses as much as digits as its factorization.

14130766172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 14130766172160 in words is "fourteen trillion, one hundred thirty billion, seven hundred sixty-six million, one hundred seventy-two thousand, one hundred sixty".