14496280128 has 672 divisors, whose sum is σ = 51078384000. Its totient is φ = 4014489600.

The previous prime is 14496280111. The next prime is 14496280133. The reversal of 14496280128 is 82108269441.

14496280128 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 628 + 0 + 12 + 8 = 666.

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 95 ways as a sum of consecutive naturals, for example, 162879508 + ... + 162879596.

It is an arithmetic number, because the mean of its divisors is an integer number (76009500).

Almost surely, 2^14496280128 is an apocalyptic number.

14496280128 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 14496280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25539192000).

14496280128 is an abundant number, since it is smaller than the sum of its proper divisors (36582103872).

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

14496280128 is a wasteful number, since it uses less digits than its factorization.

14496280128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14496280128 in words is "fourteen billion, four hundred ninety-six million, two hundred eighty thousand, one hundred twenty-eight".