2014114600 has 72 divisors (see below), whose sum is σ = 4895526510. Its totient is φ = 770577280.

The previous prime is 2014114567. The next prime is 2014114601. The reversal of 2014114600 is 64114102.

It can be written as a sum of positive squares in 3 ways, for example, as 795127204 + 1218987396 = 28198^2 + 34914^2 .

It is not an unprimeable number, because it can be changed into a prime (2014114601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96282 + ... + 115318.

Almost surely, 2^2014114600 is an apocalyptic number.

2014114600 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 2014114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447763255).

2014114600 is an abundant number, since it is smaller than the sum of its proper divisors (2881411910).

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

2014114600 is a wasteful number, since it uses less digits than its factorization.

2014114600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19099 (or 19067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2014114600 is about 44878.8881323947. Note that the first 3 decimals coincide. The cubic root of 2014114600 is about 1262.8779850479.

Adding to 2014114600 its reverse (64114102), we get a palindrome (2078228702).

The spelling of 2014114600 in words is "two billion, fourteen million, one hundred fourteen thousand, six hundred".