14640569047728 has 1280 divisors, whose sum is σ = 52026270105600. Its totient is φ = 3894200893440.

The previous prime is 14640569047639. The next prime is 14640569047739. The reversal of 14640569047728 is 82774096504641.

14640569047728 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 0 + 56 + 90 + 477 + 28 = 666.

14640569047728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6418485948 + ... + 6418488228.

It is an arithmetic number, because the mean of its divisors is an integer number (40645523520).

Almost surely, 2^{14640569047728} is an apocalyptic number.

14640569047728 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 14640569047728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26013135052800).

14640569047728 is an abundant number, since it is smaller than the sum of its proper divisors (37385701057872).

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

14640569047728 is a wasteful number, since it uses less digits than its factorization.

14640569047728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 14640569047728 in words is "fourteen trillion, six hundred forty billion, five hundred sixty-nine million, forty-seven thousand, seven hundred twenty-eight".