14475552768 has 576 divisors, whose sum is σ = 48294792000. Its totient is φ = 4310433792.

The previous prime is 14475552737. The next prime is 14475552769. The reversal of 14475552768 is 86725557441.

It is a happy number.

14475552768 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 55 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (14475552769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245348323 + ... + 245348381.

It is an arithmetic number, because the mean of its divisors is an integer number (83845125).

Almost surely, 2^14475552768 is an apocalyptic number.

14475552768 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 14475552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24147396000).

14475552768 is an abundant number, since it is smaller than the sum of its proper divisors (33819239232).

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

14475552768 is an equidigital number, since it uses as much as digits as its factorization.

14475552768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 14475552768 in words is "fourteen billion, four hundred seventy-five million, five hundred fifty-two thousand, seven hundred sixty-eight".