14775532428384 has 768 divisors, whose sum is σ = 56173003407360. Its totient is φ = 3671752550400.

The previous prime is 14775532428359. The next prime is 14775532428389. The reversal of 14775532428384 is 48382423557741.

14775532428384 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 5 + 5 + 3 + 242 + 8 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14775532428389) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 121098609 + ... + 121220559.

It is an arithmetic number, because the mean of its divisors is an integer number (73141931520).

Almost surely, 2^{14775532428384} is an apocalyptic number.

14775532428384 is a gapful number since it is divisible by the number (14) 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 14775532428384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28086501703680).

14775532428384 is an abundant number, since it is smaller than the sum of its proper divisors (41397470978976).

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

14775532428384 is a wasteful number, since it uses less digits than its factorization.

14775532428384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122080 (or 122066 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 14775532428384 in words is "fourteen trillion, seven hundred seventy-five billion, five hundred thirty-two million, four hundred twenty-eight thousand, three hundred eighty-four".