214114010304 has 112 divisors (see below), whose sum is σ = 568742169600. Its totient is φ = 71090620416.

The previous prime is 214114010263. The next prime is 214114010317. The reversal of 214114010304 is 403010411412.

It is a super-2 number, since 2×214114010304² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102494892 + ... + 102496980.

Almost surely, 2^214114010304 is an apocalyptic number.

214114010304 is a gapful number since it is divisible by the number (24) 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 214114010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284371084800).

214114010304 is an abundant number, since it is smaller than the sum of its proper divisors (354628159296).

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

214114010304 is a wasteful number, since it uses less digits than its factorization.

214114010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 214114010304 its reverse (403010411412), we get a palindrome (617124421716).

The spelling of 214114010304 in words is "two hundred fourteen billion, one hundred fourteen million, ten thousand, three hundred four".