14268528120 has 384 divisors, whose sum is σ = 54483609600. Its totient is φ = 2925711360.

The previous prime is 14268528103. The next prime is 14268528181. The reversal of 14268528120 is 2182586241.

It is a happy number.

It is a super-2 number, since 2×14268528120² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 8028672 + ... + 8030448.

It is an arithmetic number, because the mean of its divisors is an integer number (141884400).

Almost surely, 2^14268528120 is an apocalyptic number.

14268528120 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 14268528120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27241804800).

14268528120 is an abundant number, since it is smaller than the sum of its proper divisors (40215081480).

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

14268528120 is a wasteful number, since it uses less digits than its factorization.

14268528120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 14268528120 in words is "fourteen billion, two hundred sixty-eight million, five hundred twenty-eight thousand, one hundred twenty".