214739490304 has 80 divisors (see below), whose sum is σ = 440784756720. Its totient is φ = 104450621440.

The previous prime is 214739490299. The next prime is 214739490313. The reversal of 214739490304 is 403094937412.

214739490304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214739490304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7395687 + ... + 7424665.

It is an arithmetic number, because the mean of its divisors is an integer number (5509809459).

Almost surely, 2^214739490304 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 214739490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220392378360).

214739490304 is an abundant number, since it is smaller than the sum of its proper divisors (226045266416).

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

214739490304 is an equidigital number, since it uses as much as digits as its factorization.

214739490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29391 (or 29375 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 214739490304 in words is "two hundred fourteen billion, seven hundred thirty-nine million, four hundred ninety thousand, three hundred four".