14284550016 has 768 divisors, whose sum is σ = 52506662400. Its totient is φ = 3771187200.

The previous prime is 14284550009. The next prime is 14284550017. The reversal of 14284550016 is 61005548241.

It is a happy number.

14284550016 is a `hidden beast` number, since 14 + 2 + 84 + 550 + 0 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14284550017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460791921 + ... + 460791951.

It is an arithmetic number, because the mean of its divisors is an integer number (68368050).

Almost surely, 2^14284550016 is an apocalyptic number.

14284550016 is a gapful number since it is divisible by the number (16) 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 14284550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26253331200).

14284550016 is an abundant number, since it is smaller than the sum of its proper divisors (38222112384).

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

14284550016 is a wasteful number, since it uses less digits than its factorization.

14284550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 14284550016 in words is "fourteen billion, two hundred eighty-four million, five hundred fifty thousand, sixteen".