114585678 has 128 divisors (see below), whose sum is σ = 289059840. Its totient is φ = 33872256.

The previous prime is 114585677. The next prime is 114585697. The reversal of 114585678 is 876585411.

114585678 is a `hidden beast` number, since 1 + 1 + 4 + 585 + 67 + 8 = 666.

Its product of digits (268800) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114585677) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1710201 + ... + 1710267.

It is an arithmetic number, because the mean of its divisors is an integer number (2258280).

Almost surely, 2^114585678 is an apocalyptic number.

114585678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114585678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144529920).

114585678 is an abundant number, since it is smaller than the sum of its proper divisors (174474162).

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

114585678 is an equidigital number, since it uses as much as digits as its factorization.

114585678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 114585678 is about 10704.4700008922. The cubic root of 114585678 is about 485.7097031781.

The spelling of 114585678 in words is "one hundred fourteen million, five hundred eighty-five thousand, six hundred seventy-eight".