2014102314 has 64 divisors (see below), whose sum is σ = 5180006400. Its totient is φ = 568165104.

The previous prime is 2014102313. The next prime is 2014102357. The reversal of 2014102314 is 4132014102.

2014102314 is a `hidden beast` number, since 20 + 1 + 410 + 231 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2014102313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3862 + ... + 63585.

It is an arithmetic number, because the mean of its divisors is an integer number (80937600).

Almost surely, 2^2014102314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014102314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590003200).

2014102314 is an abundant number, since it is smaller than the sum of its proper divisors (3165904086).

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

2014102314 is a wasteful number, since it uses less digits than its factorization.

2014102314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67544 (or 67538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2014102314 is about 44878.7512526808. The cubic root of 2014102314 is about 1262.8754172115.

Adding to 2014102314 its reverse (4132014102), we get a palindrome (6146116416).

The spelling of 2014102314 in words is "two billion, fourteen million, one hundred two thousand, three hundred fourteen".