14368842000 has 240 divisors, whose sum is σ = 53138799792. Its totient is φ = 3606220800.

The previous prime is 14368841959. The next prime is 14368842011. The reversal of 14368842000 is 24886341.

14368842000 is a `hidden beast` number, since 14 + 368 + 84 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4266179856 + 10102662144 = 65316^2 + 100512^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282522 + ... + 329478.

Almost surely, 2^14368842000 is an apocalyptic number.

14368842000 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 14368842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569399896).

14368842000 is an abundant number, since it is smaller than the sum of its proper divisors (38769957792).

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

14368842000 is a wasteful number, since it uses less digits than its factorization.

14368842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47003 (or 46984 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14368842000 in words is "fourteen billion, three hundred sixty-eight million, eight hundred forty-two thousand".