14442485760 has 192 divisors, whose sum is σ = 51339506400. Its totient is φ = 3851255808.

The previous prime is 14442485699. The next prime is 14442485767. The reversal of 14442485760 is 6758424441.

14442485760 is a `hidden beast` number, since 14 + 44 + 24 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14442485767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250362 + ... + 302598.

Almost surely, 2^14442485760 is an apocalyptic number.

14442485760 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 14442485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25669753200).

14442485760 is an abundant number, since it is smaller than the sum of its proper divisors (36897020640).

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

14442485760 is an equidigital number, since it uses as much as digits as its factorization.

14442485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52273 (or 52247 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 14442485760 in words is "fourteen billion, four hundred forty-two million, four hundred eighty-five thousand, seven hundred sixty".