114663168 has 144 divisors (see below), whose sum is σ = 346580640. Its totient is φ = 37380096.

The previous prime is 114663151. The next prime is 114663191. The reversal of 114663168 is 861366411.

114663168 is a `hidden beast` number, since 1 + 14 + 6 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

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 15 ways as a sum of consecutive naturals, for example, 366180 + ... + 366492.

It is an arithmetic number, because the mean of its divisors is an integer number (2406810).

Almost surely, 2^114663168 is an apocalyptic number.

114663168 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 114663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173290320).

114663168 is an abundant number, since it is smaller than the sum of its proper divisors (231917472).

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

114663168 is an equidigital number, since it uses as much as digits as its factorization.

114663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 114663168 is about 10708.0889051221. The cubic root of 114663168 is about 485.8191675964.

It can be divided in two parts, 1146 and 63168, that multiplied together give a triangular number (72390528 = T₁₂₀₃₂).

The spelling of 114663168 in words is "one hundred fourteen million, six hundred sixty-three thousand, one hundred sixty-eight".