114082668 has 144 divisors (see below), whose sum is σ = 357127680. Its totient is φ = 31177872.

The previous prime is 114082649. The next prime is 114082673. The reversal of 114082668 is 866280411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4960105 + ... + 4960127.

Almost surely, 2^114082668 is an apocalyptic number.

114082668 is a gapful number since it is divisible by the number (18) 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 114082668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178563840).

114082668 is an abundant number, since it is smaller than the sum of its proper divisors (243045012).

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

114082668 is an frugal number, since it uses more digits than its factorization.

114082668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 114082668 is about 10680.9488342563. The cubic root of 114082668 is about 484.9979353014.

The spelling of 114082668 in words is "one hundred fourteen million, eighty-two thousand, six hundred sixty-eight".