14528127116784 has 160 divisors (see below), whose sum is σ = 40711959892800. Its totient is φ = 4446237491200.

The previous prime is 14528127116773. The next prime is 14528127116807. The reversal of 14528127116784 is 48761172182541.

It is a happy number.

It is a super-2 number, since 2×14528127116784² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546958864 + ... + 546985424.

It is an arithmetic number, because the mean of its divisors is an integer number (254449749330).

Almost surely, 2^{14528127116784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14528127116784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355979946400).

14528127116784 is an abundant number, since it is smaller than the sum of its proper divisors (26183832776016).

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

14528127116784 is a wasteful number, since it uses less digits than its factorization.

14528127116784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42979 (or 42973 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 57.

The spelling of 14528127116784 in words is "fourteen trillion, five hundred twenty-eight billion, one hundred twenty-seven million, one hundred sixteen thousand, seven hundred eighty-four".