16428016283364 has 360 divisors, whose sum is σ = 52213292402040. Its totient is φ = 4485134094336.

The previous prime is 16428016283359. The next prime is 16428016283369. The reversal of 16428016283364 is 46338261082461.

16428016283364 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 8 + 0 + 1 + 628 + 3 + 3 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16428016283359) and next prime (16428016283369).

It can be written as a sum of positive squares in 4 ways, for example, as 1678729652964 + 14749286630400 = 1295658^2 + 3840480^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 16428016283364.

It is not an unprimeable number, because it can be changed into a prime (16428016283369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44475262 + ... + 44843114.

It is an arithmetic number, because the mean of its divisors is an integer number (145036923339).

Almost surely, 2^{16428016283364} is an apocalyptic number.

16428016283364 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 16428016283364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26106646201020).

16428016283364 is an abundant number, since it is smaller than the sum of its proper divisors (35785276118676).

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

16428016283364 is a wasteful number, since it uses less digits than its factorization.

16428016283364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368009 (or 367991 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 16428016283364 in words is "sixteen trillion, four hundred twenty-eight billion, sixteen million, two hundred eighty-three thousand, three hundred sixty-four".