14260220869248 has 192 divisors, whose sum is σ = 42484887244800. Its totient is φ = 4585754880000.

The previous prime is 14260220869241. The next prime is 14260220869361. The reversal of 14260220869248 is 84296802206241.

14260220869248 is a `hidden beast` number, since 1 + 4 + 2 + 602 + 2 + 0 + 8 + 6 + 9 + 24 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14260220869194 and 14260220869203.

It is not an unprimeable number, because it can be changed into a prime (14260220869241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40951873 + ... + 41298623.

It is an arithmetic number, because the mean of its divisors is an integer number (221275454400).

Almost surely, 2^{14260220869248} is an apocalyptic number.

14260220869248 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 14260220869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21242443622400).

14260220869248 is an abundant number, since it is smaller than the sum of its proper divisors (28224666375552).

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

14260220869248 is a wasteful number, since it uses less digits than its factorization.

14260220869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348031 (or 348016 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 14260220869248 in words is "fourteen trillion, two hundred sixty billion, two hundred twenty million, eight hundred sixty-nine thousand, two hundred forty-eight".