2114114112 has 84 divisors (see below), whose sum is σ = 6610630416. Its totient is φ = 640638720.

The previous prime is 2114114081. The next prime is 2114114117.

2114114112 is a `hidden beast` number, since 211 + 41 + 1 + 411 + 2 = 666.

2114114112 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2114114117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160498 + ... + 173169.

Almost surely, 2^2114114112 is an apocalyptic number.

2114114112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2114114112 is an abundant number, since it is smaller than the sum of its proper divisors (4496516304).

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

2114114112 is a wasteful number, since it uses less digits than its factorization.

2114114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333696 (or 333683 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 2114114112 is about 45979.4966479626. The cubic root of 2114114112 is about 1283.4416881506.

2114114112 divided by its product of digits (64) gives a palindrome (33033033).

It can be divided in two parts, 21141 and 14112, that added together give a palindrome (35253).

The spelling of 2114114112 in words is "two billion, one hundred fourteen million, one hundred fourteen thousand, one hundred twelve".