14593056768 has 224 divisors, whose sum is σ = 45791140320. Its totient is φ = 4577034240.

The previous prime is 14593056757. The next prime is 14593056773. The reversal of 14593056768 is 86765039541.

14593056768 is a `hidden beast` number, since 1 + 45 + 9 + 30 + 567 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3758188 + ... + 3762068.

Almost surely, 2^14593056768 is an apocalyptic number.

14593056768 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 14593056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895570160).

14593056768 is an abundant number, since it is smaller than the sum of its proper divisors (31198083552).

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

14593056768 is an equidigital number, since it uses as much as digits as its factorization.

14593056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 14593056768 in words is "fourteen billion, five hundred ninety-three million, fifty-six thousand, seven hundred sixty-eight".