114144768 has 160 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 36292608.

The previous prime is 114144757. The next prime is 114144769. The reversal of 114144768 is 867441411.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114144769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317773 + ... + 318131.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^114144768 is an apocalyptic number.

114144768 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 114144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

114144768 is an abundant number, since it is smaller than the sum of its proper divisors (239404032).

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

114144768 is an equidigital number, since it uses as much as digits as its factorization.

114144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 387 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 114144768 is about 10683.8554838597. The cubic root of 114144768 is about 485.0859209381.

The spelling of 114144768 in words is "one hundred fourteen million, one hundred forty-four thousand, seven hundred sixty-eight".