14450688000 has 684 divisors, whose sum is σ = 60605480052. Its totient is φ = 3303014400.

The previous prime is 14450687969. The next prime is 14450688011. The reversal of 14450688000 is 88605441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14450688000 is a `hidden beast` number, since 144 + 506 + 8 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 462422016 + 13988265984 = 21504^2 + 118272^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2064383997 + ... + 2064384003.

It is an arithmetic number, because the mean of its divisors is an integer number (88604503).

Almost surely, 2^14450688000 is an apocalyptic number.

14450688000 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 14450688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30302740026).

14450688000 is an abundant number, since it is smaller than the sum of its proper divisors (46154792052).

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

14450688000 is an frugal number, since it uses more digits than its factorization.

14450688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 14450688000 in words is "fourteen billion, four hundred fifty million, six hundred eighty-eight thousand".