14452208640 has 528 divisors, whose sum is σ = 55870326720. Its totient is φ = 3432775680.

The previous prime is 14452208627. The next prime is 14452208689. The reversal of 14452208640 is 4680225441.

14452208640 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 2 + 2 + 0 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14452208595 and 14452208604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14883355 + ... + 14884325.

Almost surely, 2^14452208640 is an apocalyptic number.

14452208640 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 14452208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27935163360).

14452208640 is an abundant number, since it is smaller than the sum of its proper divisors (41418118080).

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

14452208640 is a wasteful number, since it uses less digits than its factorization.

14452208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14452208640 in words is "fourteen billion, four hundred fifty-two million, two hundred eight thousand, six hundred forty".