214112322341456 has 240 divisors, whose sum is σ = 522888586321920. Its totient is φ = 83138469638400.

The previous prime is 214112322341413. The next prime is 214112322341503. The reversal of 214112322341456 is 654143223211412.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5108717141 + ... + 5108759051.

It is an arithmetic number, because the mean of its divisors is an integer number (2178702443008).

Almost surely, 2^{214112322341456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214112322341456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261444293160960).

214112322341456 is an abundant number, since it is smaller than the sum of its proper divisors (308776263980464).

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

214112322341456 is a wasteful number, since it uses less digits than its factorization.

214112322341456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43214 (or 43197 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

Adding to 214112322341456 its reverse (654143223211412), we get a palindrome (868255545552868).

The spelling of 214112322341456 in words is "two hundred fourteen trillion, one hundred twelve billion, three hundred twenty-two million, three hundred forty-one thousand, four hundred fifty-six".