14225183280 has 960 divisors, whose sum is σ = 63831628800. Its totient is φ = 2828390400.

The previous prime is 14225183257. The next prime is 14225183293. The reversal of 14225183280 is 8238152241.

It is a happy number.

14225183280 is a `hidden beast` number, since 14 + 22 + 518 + 32 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159833476 + ... + 159833564.

It is an arithmetic number, because the mean of its divisors is an integer number (66491280).

Almost surely, 2^14225183280 is an apocalyptic number.

14225183280 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 14225183280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31915814400).

14225183280 is an abundant number, since it is smaller than the sum of its proper divisors (49606445520).

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

14225183280 is a wasteful number, since it uses less digits than its factorization.

14225183280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 14225183280 in words is "fourteen billion, two hundred twenty-five million, one hundred eighty-three thousand, two hundred eighty".