214213314016 has 96 divisors (see below), whose sum is σ = 468918955008. Its totient is φ = 95695810560.

The previous prime is 214213314013. The next prime is 214213314019. The reversal of 214213314016 is 610413312412.

It is an interprime number because it is at equal distance from previous prime (214213314013) and next prime (214213314019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214213314013) 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 15 ways as a sum of consecutive naturals, for example, 2116666 + ... + 2215558.

It is an arithmetic number, because the mean of its divisors is an integer number (4884572448).

Almost surely, 2^214213314016 is an apocalyptic number.

214213314016 is a gapful number since it is divisible by the number (26) 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 214213314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234459477504).

214213314016 is an abundant number, since it is smaller than the sum of its proper divisors (254705640992).

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

214213314016 is a wasteful number, since it uses less digits than its factorization.

214213314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99084 (or 99076 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 214213314016 its reverse (610413312412), we get a palindrome (824626626428).

The spelling of 214213314016 in words is "two hundred fourteen billion, two hundred thirteen million, three hundred fourteen thousand, sixteen".