14166820604160 has 1296 divisors, whose sum is σ = 62998172205696. Its totient is φ = 2915100131328.

The previous prime is 14166820604141. The next prime is 14166820604161. The reversal of 14166820604160 is 6140602866141.

14166820604160 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 6 + 8 + 20 + 604 + 16 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14166820604161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220679587 + ... + 220743773.

It is an arithmetic number, because the mean of its divisors is an integer number (48609700776).

Almost surely, 2^{14166820604160} is an apocalyptic number.

14166820604160 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 14166820604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31499086102848).

14166820604160 is an abundant number, since it is smaller than the sum of its proper divisors (48831351601536).

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

14166820604160 is a wasteful number, since it uses less digits than its factorization.

14166820604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64268 (or 64244 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14166820604160 in words is "fourteen trillion, one hundred sixty-six billion, eight hundred twenty million, six hundred four thousand, one hundred sixty".