14646431114160 has 160 divisors (see below), whose sum is σ = 45515555121600. Its totient is φ = 3896117428224.

The previous prime is 14646431114143. The next prime is 14646431114197. The reversal of 14646431114160 is 6141113464641.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560015644 + ... + 560041796.

It is an arithmetic number, because the mean of its divisors is an integer number (284472219510).

Almost surely, 2^{14646431114160} is an apocalyptic number.

14646431114160 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 14646431114160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22757777560800).

14646431114160 is an abundant number, since it is smaller than the sum of its proper divisors (30869124007440).

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

14646431114160 is a wasteful number, since it uses less digits than its factorization.

14646431114160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31815 (or 31809 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 14646431114160 in words is "fourteen trillion, six hundred forty-six billion, four hundred thirty-one million, one hundred fourteen thousand, one hundred sixty".