2014116600 has 96 divisors (see below), whose sum is σ = 6361668720. Its totient is φ = 526955520.

The previous prime is 2014116557. The next prime is 2014116607. The reversal of 2014116600 is 66114102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014116607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132 + ... + 63468.

Almost surely, 2^2014116600 is an apocalyptic number.

2014116600 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 2014116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180834360).

2014116600 is an abundant number, since it is smaller than the sum of its proper divisors (4347552120).

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

2014116600 is a wasteful number, since it uses less digits than its factorization.

2014116600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63409 (or 63400 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2014116600 is about 44878.9104145811. The cubic root of 2014116600 is about 1262.8784030571.

The spelling of 2014116600 in words is "two billion, fourteen million, one hundred sixteen thousand, six hundred".