14948245760 has 216 divisors, whose sum is σ = 42674783256. Its totient is φ = 4999249920.

The previous prime is 14948245751. The next prime is 14948245777. The reversal of 14948245760 is 6754284941.

It can be written as a sum of positive squares in 4 ways, for example, as 289816576 + 14658429184 = 17024^2 + 121072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14948245699 and 14948245708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2568614 + ... + 2574426.

It is an arithmetic number, because the mean of its divisors is an integer number (197568441).

Almost surely, 2^14948245760 is an apocalyptic number.

14948245760 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 14948245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337391628).

14948245760 is an abundant number, since it is smaller than the sum of its proper divisors (27726537496).

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

14948245760 is an equidigital number, since it uses as much as digits as its factorization.

14948245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 14948245760 in words is "fourteen billion, nine hundred forty-eight million, two hundred forty-five thousand, seven hundred sixty".