14284094688 has 240 divisors, whose sum is σ = 45919488384. Its totient is φ = 4336312320.

The previous prime is 14284094677. The next prime is 14284094717. The reversal of 14284094688 is 88649048241.

It is a happy number.

It is a super-2 number, since 2×14284094688² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1360756 + ... + 1371212.

Almost surely, 2^14284094688 is an apocalyptic number.

14284094688 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 14284094688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22959744192).

14284094688 is an abundant number, since it is smaller than the sum of its proper divisors (31635393696).

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

14284094688 is a wasteful number, since it uses less digits than its factorization.

14284094688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 14284094688 in words is "fourteen billion, two hundred eighty-four million, ninety-four thousand, six hundred eighty-eight".