14009830248960 has 2160 divisors, whose sum is σ = 61828891900776. Its totient is φ = 2921582297088.

The previous prime is 14009830248959. The next prime is 14009830249007. The reversal of 14009830248960 is 6984203890041.

14009830248960 is a `hidden beast` number, since 1 + 40 + 0 + 98 + 30 + 2 + 489 + 6 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17083535616 + 13992746713344 = 130704^2 + 3740688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14009830248897 and 14009830248906.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18507040902 + ... + 18507041658.

Almost surely, 2^{14009830248960} is an apocalyptic number.

14009830248960 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 14009830248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30914445950388).

14009830248960 is an abundant number, since it is smaller than the sum of its proper divisors (47819061651816).

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

14009830248960 is a wasteful number, since it uses less digits than its factorization.

14009830248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14009830248960 in words is "fourteen trillion, nine billion, eight hundred thirty million, two hundred forty-eight thousand, nine hundred sixty".