214423317884160 has 2016 divisors, whose sum is σ = 986040131956992. Its totient is φ = 43350754590720.

The previous prime is 214423317884143. The next prime is 214423317884161. The reversal of 214423317884160 is 61488713324412.

214423317884160 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 331 + 78 + 84 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 214423317884097 and 214423317884106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214423317884161) 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 223 ways as a sum of consecutive naturals, for example, 2658418552 + ... + 2658499208.

It is an arithmetic number, because the mean of its divisors is an integer number (489107208312).

Almost surely, 2^{214423317884160} is an apocalyptic number.

214423317884160 is a gapful number since it is divisible by the number (20) 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 214423317884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493020065978496).

214423317884160 is an abundant number, since it is smaller than the sum of its proper divisors (771616814072832).

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

214423317884160 is an equidigital number, since it uses as much as digits as its factorization.

214423317884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80751 (or 80722 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 214423317884160 in words is "two hundred fourteen trillion, four hundred twenty-three billion, three hundred seventeen million, eight hundred eighty-four thousand, one hundred sixty".