14194848000 has 144 divisors (see below), whose sum is σ = 47148506496. Its totient is φ = 3785267200.

The previous prime is 14194847999. The next prime is 14194848011. The reversal of 14194848000 is 84849141.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14194848000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22069 + ... + 169931.

It is an arithmetic number, because the mean of its divisors is an integer number (327420184).

Almost surely, 2^14194848000 is an apocalyptic number.

14194848000 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 14194848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23574253248).

14194848000 is an abundant number, since it is smaller than the sum of its proper divisors (32953658496).

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

14194848000 is an equidigital number, since it uses as much as digits as its factorization.

14194848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147897 (or 147873 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 14194848000 in words is "fourteen billion, one hundred ninety-four million, eight hundred forty-eight thousand".