14228645760 has 512 divisors, whose sum is σ = 58360320000. Its totient is φ = 3208937472.

The previous prime is 14228645719. The next prime is 14228645807. The reversal of 14228645760 is 6754682241.

14228645760 is a `hidden beast` number, since 14 + 2 + 2 + 8 + 64 + 576 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9555096 + ... + 9556584.

It is an arithmetic number, because the mean of its divisors is an integer number (113985000).

Almost surely, 2^14228645760 is an apocalyptic number.

14228645760 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 14228645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29180160000).

14228645760 is an abundant number, since it is smaller than the sum of its proper divisors (44131674240).

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

14228645760 is a wasteful number, since it uses less digits than its factorization.

14228645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 14228645760 in words is "fourteen billion, two hundred twenty-eight million, six hundred forty-five thousand, seven hundred sixty".