114111684 has 72 divisors (see below), whose sum is σ = 307871928. Its totient is φ = 35512320.

The previous prime is 114111661. The next prime is 114111707. The reversal of 114111684 is 486111411.

It is an interprime number because it is at equal distance from previous prime (114111661) and next prime (114111707).

It can be written as a sum of positive squares in 4 ways, for example, as 17640000 + 96471684 = 4200^2 + 9822^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 83164 + ... + 84524.

It is an arithmetic number, because the mean of its divisors is an integer number (4275999).

Almost surely, 2^114111684 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 114111684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153935964).

114111684 is an abundant number, since it is smaller than the sum of its proper divisors (193760244).

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

114111684 is a wasteful number, since it uses less digits than its factorization.

114111684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1520 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 114111684 is about 10682.3070541901. The cubic root of 114111684 is about 485.0390502443.

The spelling of 114111684 in words is "one hundred fourteen million, one hundred eleven thousand, six hundred eighty-four".