114243264 has 112 divisors (see below), whose sum is σ = 355701600. Its totient is φ = 35831808.

The previous prime is 114243263. The next prime is 114243271. The reversal of 114243264 is 462342411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (114243263) 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, 27432 + ... + 31320.

Almost surely, 2^114243264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177850800).

114243264 is an abundant number, since it is smaller than the sum of its proper divisors (241458336).

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

114243264 is a wasteful number, since it uses less digits than its factorization.

114243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3911 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 114243264 is about 10688.4640617817. The cubic root of 114243264 is about 485.2254083842.

Adding to 114243264 its reverse (462342411), we get a palindrome (576585675).

The spelling of 114243264 in words is "one hundred fourteen million, two hundred forty-three thousand, two hundred sixty-four".