214320511314 has 108 divisors (see below), whose sum is σ = 584923811706. Its totient is φ = 56524051584.

The previous prime is 214320511259. The next prime is 214320511367. The reversal of 214320511314 is 413115023412.

214320511314 is a `hidden beast` number, since 2 + 14 + 320 + 5 + 11 + 314 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 138582719289 + 75737792025 = 372267^2 + 275205^2 .

It is a super-3 number, since 3×214320511314³ (a number of 35 digits) contains 333 as substring.

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 53 ways as a sum of consecutive naturals, for example, 569859 + ... + 867974.

Almost surely, 2^214320511314 is an apocalyptic number.

214320511314 is an abundant number, since it is smaller than the sum of its proper divisors (370603300392).

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

214320511314 is a wasteful number, since it uses less digits than its factorization.

214320511314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437881 (or 1437858 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 214320511314 its reverse (413115023412), we get a palindrome (627435534726).

The spelling of 214320511314 in words is "two hundred fourteen billion, three hundred twenty million, five hundred eleven thousand, three hundred fourteen".