114464 has 36 divisors (see below), whose sum is σ = 265734. Its totient is φ = 48384.

The previous prime is 114451. The next prime is 114467. The reversal of 114464 is 464411.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 19600 = 308^2 + 140^2 .

It is not an unprimeable number, because it can be changed into a prime (114467) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1532 + ... + 1604.

2¹¹⁴⁴⁶⁴ is an apocalyptic number.

114464 is a gapful number since it is divisible by the number (14) 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 114464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132867).

114464 is an abundant number, since it is smaller than the sum of its proper divisors (151270).

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

114464 is an equidigital number, since it uses as much as digits as its factorization.

114464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 114464 is about 338.3252872606. The cubic root of 114464 is about 48.5537717993.

Adding to 114464 its reverse (464411), we get a palindrome (578875).

The spelling of 114464 in words is "one hundred fourteen thousand, four hundred sixty-four".