14006505450 has 144 divisors (see below), whose sum is σ = 40780380960. Its totient is φ = 3171934080.

The previous prime is 14006505449. The next prime is 14006505451. The reversal of 14006505450 is 5450560041.

It is an interprime number because it is at equal distance from previous prime (14006505449) and next prime (14006505451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14006505451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792409 + ... + 809891.

It is an arithmetic number, because the mean of its divisors is an integer number (283197090).

Almost surely, 2^14006505450 is an apocalyptic number.

14006505450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14006505450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20390190480).

14006505450 is an abundant number, since it is smaller than the sum of its proper divisors (26773875510).

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

14006505450 is a wasteful number, since it uses less digits than its factorization.

14006505450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17621 (or 17609 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 14006505450 in words is "fourteen billion, six million, five hundred five thousand, four hundred fifty".