114555168 has 384 divisors, whose sum is σ = 433520640. Its totient is φ = 28615680.

The previous prime is 114555131. The next prime is 114555169. The reversal of 114555168 is 861555411.

114555168 is a `hidden beast` number, since 1 + 1 + 45 + 551 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114555169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2437321 + ... + 2437367.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^114555168 is an apocalyptic number.

114555168 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 114555168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

114555168 is an abundant number, since it is smaller than the sum of its proper divisors (318965472).

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

114555168 is a wasteful number, since it uses less digits than its factorization.

114555168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its digits is 24000, while the sum is 36.

The square root of 114555168 is about 10703.0448004295. The cubic root of 114555168 is about 485.6665904065. Note that the first 3 decimals are identical.

The spelling of 114555168 in words is "one hundred fourteen million, five hundred fifty-five thousand, one hundred sixty-eight".