16242484414464 has 2304 divisors, whose sum is σ = 63685590958080. Its totient is φ = 4046605516800.

The previous prime is 16242484414463. The next prime is 16242484414511. The reversal of 16242484414464 is 46441448424261.

16242484414464 is a `hidden beast` number, since 1 + 6 + 2 + 424 + 84 + 41 + 44 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16242484414464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16242484414463) 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 191 ways as a sum of consecutive naturals, for example, 143738800072 + ... + 143738800184.

It is an arithmetic number, because the mean of its divisors is an integer number (27641315520).

Almost surely, 2^{16242484414464} is an apocalyptic number.

16242484414464 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 16242484414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842795479040).

16242484414464 is an abundant number, since it is smaller than the sum of its proper divisors (47443106543616).

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

16242484414464 is an equidigital number, since it uses as much as digits as its factorization.

16242484414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 167 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 54.

The spelling of 16242484414464 in words is "sixteen trillion, two hundred forty-two billion, four hundred eighty-four million, four hundred fourteen thousand, four hundred sixty-four".