14278674816 has 640 divisors, whose sum is σ = 52464360960. Its totient is φ = 3762339840.

The previous prime is 14278674811. The next prime is 14278674829. The reversal of 14278674816 is 61847687241.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14278674811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87599151 + ... + 87599313.

It is an arithmetic number, because the mean of its divisors is an integer number (81975564).

Almost surely, 2^14278674816 is an apocalyptic number.

14278674816 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 14278674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26232180480).

14278674816 is an abundant number, since it is smaller than the sum of its proper divisors (38185686144).

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

14278674816 is a wasteful number, since it uses less digits than its factorization.

14278674816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 14278674816 in words is "fourteen billion, two hundred seventy-eight million, six hundred seventy-four thousand, eight hundred sixteen".