214306023360 has 336 divisors, whose sum is σ = 805438011168. Its totient is φ = 47956254720.

The previous prime is 214306023343. The next prime is 214306023361. The reversal of 214306023360 is 63320603412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214306023361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439122 + ... + 1581038.

It is an arithmetic number, because the mean of its divisors is an integer number (2397136938).

Almost surely, 2^214306023360 is an apocalyptic number.

214306023360 is a gapful number since it is divisible by the number (20) 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 214306023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402719005584).

214306023360 is an abundant number, since it is smaller than the sum of its proper divisors (591131987808).

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

214306023360 is a wasteful number, since it uses less digits than its factorization.

214306023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141972 (or 141951 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 214306023360 its reverse (63320603412), we get a palindrome (277626626772).

The spelling of 214306023360 in words is "two hundred fourteen billion, three hundred six million, twenty-three thousand, three hundred sixty".