114386688 has 288 divisors, whose sum is σ = 389177600. Its totient is φ = 32845824.

The previous prime is 114386681. The next prime is 114386689. The reversal of 114386688 is 886683411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114386681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707231 + ... + 1707297.

Almost surely, 2^114386688 is an apocalyptic number.

114386688 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 114386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194588800).

114386688 is an abundant number, since it is smaller than the sum of its proper divisors (274790912).

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

114386688 is a wasteful number, since it uses less digits than its factorization.

114386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 114386688 is about 10695.1712468759. The cubic root of 114386688 is about 485.4283783855.

The spelling of 114386688 in words is "one hundred fourteen million, three hundred eighty-six thousand, six hundred eighty-eight".