14828356368 has 400 divisors, whose sum is σ = 50816747520. Its totient is φ = 4086796032.

The previous prime is 14828356363. The next prime is 14828356379. The reversal of 14828356368 is 86365382841.

14828356368 is a `hidden beast` number, since 1 + 482 + 83 + 56 + 36 + 8 = 666.

14828356368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (6635520) is a multiple of the sum of its prime factors (576).

It is not an unprimeable number, because it can be changed into a prime (14828356363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35389663 + ... + 35390081.

Almost surely, 2^14828356368 is an apocalyptic number.

14828356368 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 14828356368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408373760).

14828356368 is an abundant number, since it is smaller than the sum of its proper divisors (35988391152).

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

14828356368 is a wasteful number, since it uses less digits than its factorization.

14828356368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 14828356368 in words is "fourteen billion, eight hundred twenty-eight million, three hundred fifty-six thousand, three hundred sixty-eight".