14442560496 has 400 divisors, whose sum is σ = 51851903488. Its totient is φ = 3779136000.

The previous prime is 14442560471. The next prime is 14442560513. The reversal of 14442560496 is 69406524441.

14442560496 is a `hidden beast` number, since 1 + 4 + 4 + 42 + 560 + 49 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17807931 + ... + 17808741.

Almost surely, 2^14442560496 is an apocalyptic number.

14442560496 is a gapful number since it is divisible by the number (16) 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 14442560496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25925951744).

14442560496 is an abundant number, since it is smaller than the sum of its proper divisors (37409342992).

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

14442560496 is a wasteful number, since it uses less digits than its factorization.

14442560496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 14442560496 in words is "fourteen billion, four hundred forty-two million, five hundred sixty thousand, four hundred ninety-six".