14168284560 has 320 divisors, whose sum is σ = 49906805760. Its totient is φ = 3693496320.

The previous prime is 14168284463. The next prime is 14168284567. The reversal of 14168284560 is 6548286141.

It is a happy number.

14168284560 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 8 + 2 + 84 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14168284567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38605497 + ... + 38605863.

It is an arithmetic number, because the mean of its divisors is an integer number (155958768).

Almost surely, 2^14168284560 is an apocalyptic number.

14168284560 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 14168284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953402880).

14168284560 is an abundant number, since it is smaller than the sum of its proper divisors (35738521200).

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

14168284560 is a wasteful number, since it uses less digits than its factorization.

14168284560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 14168284560 in words is "fourteen billion, one hundred sixty-eight million, two hundred eighty-four thousand, five hundred sixty".