214315405356312 has 192 divisors, whose sum is σ = 658067459212800. Its totient is φ = 62464762586880.

The previous prime is 214315405356289. The next prime is 214315405356323. The reversal of 214315405356312 is 213653504513412.

214315405356312 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 1 + 5 + 4 + 0 + 5 + 3 + 5 + 631 + 2 = 666.

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, 143503143 + ... + 144988905.

It is an arithmetic number, because the mean of its divisors is an integer number (3427434683400).

Almost surely, 2^{214315405356312} 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 214315405356312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329033729606400).

214315405356312 is an abundant number, since it is smaller than the sum of its proper divisors (443752053856488).

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

214315405356312 is a wasteful number, since it uses less digits than its factorization.

214315405356312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493918 (or 1493911 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 214315405356312 its reverse (213653504513412), we get a palindrome (427968909869724).

The spelling of 214315405356312 in words is "two hundred fourteen trillion, three hundred fifteen billion, four hundred five million, three hundred fifty-six thousand, three hundred twelve".