14451038208 has 144 divisors (see below), whose sum is σ = 42710227560. Its totient is φ = 4704731136.

The previous prime is 14451038197. The next prime is 14451038233. The reversal of 14451038208 is 80283015441.

14451038208 is a `hidden beast` number, since 1 + 445 + 1 + 0 + 3 + 8 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×14451038208⁴ (a number of 42 digits) contains 4444 as substring.

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 11 ways as a sum of consecutive naturals, for example, 783460 + ... + 801692.

Almost surely, 2^14451038208 is an apocalyptic number.

14451038208 is a gapful number since it is divisible by the number (18) 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 14451038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355113780).

14451038208 is an abundant number, since it is smaller than the sum of its proper divisors (28259189352).

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

14451038208 is a wasteful number, since it uses less digits than its factorization.

14451038208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18304 (or 18281 counting only the distinct ones).

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

The spelling of 14451038208 in words is "fourteen billion, four hundred fifty-one million, thirty-eight thousand, two hundred eight".