2114945856 has 112 divisors (see below), whose sum is σ = 6350081280. Its totient is φ = 689955840.

The previous prime is 2114945851. The next prime is 2114945873. The reversal of 2114945856 is 6585494112.

2114945856 is a `hidden beast` number, since 2 + 1 + 149 + 458 + 56 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114945851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68196 + ... + 94236.

Almost surely, 2^2114945856 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 2114945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175040640).

2114945856 is an abundant number, since it is smaller than the sum of its proper divisors (4235135424).

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

2114945856 is a wasteful number, since it uses less digits than its factorization.

2114945856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26109 (or 26093 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 2114945856 is about 45988.5404856471. The cubic root of 2114945856 is about 1283.6099784927.

The spelling of 2114945856 in words is "two billion, one hundred fourteen million, nine hundred forty-five thousand, eight hundred fifty-six".