14229281664000 has 1760 divisors, whose sum is σ = 57509307151296. Its totient is φ = 3478074163200.

The previous prime is 14229281663867. The next prime is 14229281664049. The reversal of 14229281664000 is 46618292241.

It is a happy number.

14229281664000 is a `hidden beast` number, since 1 + 4 + 22 + 92 + 81 + 66 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26013311727 + ... + 26013312273.

Almost surely, 2^{14229281664000} is an apocalyptic number.

14229281664000 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 14229281664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28754653575648).

14229281664000 is an abundant number, since it is smaller than the sum of its proper divisors (43280025487296).

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

14229281664000 is a wasteful number, since it uses less digits than its factorization.

14229281664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14229281664000 in words is "fourteen trillion, two hundred twenty-nine billion, two hundred eighty-one million, six hundred sixty-four thousand".