14674828320 has 168 divisors, whose sum is σ = 51980557356. Its totient is φ = 3913256448.

The previous prime is 14674828319. The next prime is 14674828331. The reversal of 14674828320 is 2382847641.

It is a happy number.

14674828320 is a `hidden beast` number, since 14 + 67 + 482 + 83 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12302359056 + 2372469264 = 110916^2 + 48708^2 .

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 (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 53734 + ... + 179546.

Almost surely, 2^14674828320 is an apocalyptic number.

14674828320 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 14674828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25990278678).

14674828320 is an abundant number, since it is smaller than the sum of its proper divisors (37305729036).

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

14674828320 is an equidigital number, since it uses as much as digits as its factorization.

14674828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125846 (or 125823 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14674828320 in words is "fourteen billion, six hundred seventy-four million, eight hundred twenty-eight thousand, three hundred twenty".