114633216 has 60 divisors (see below), whose sum is σ = 330852522. Its totient is φ = 38209536.

The previous prime is 114633199. The next prime is 114633217. The reversal of 114633216 is 612336411.

114633216 is a `hidden beast` number, since 1 + 1 + 4 + 633 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114575616 + 57600 = 10704^2 + 240^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 114633216.

It is not an unprimeable number, because it can be changed into a prime (114633217) 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, 7831 + ... + 17046.

Almost surely, 2^114633216 is an apocalyptic number.

114633216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114633216 is an abundant number, since it is smaller than the sum of its proper divisors (216219306).

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

114633216 is an equidigital number, since it uses as much as digits as its factorization.

114633216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24901 (or 24882 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 114633216 is about 10706.6902448889. The cubic root of 114633216 is about 485.7768624599.

Adding to 114633216 its reverse (612336411), we get a palindrome (726969627).

The spelling of 114633216 in words is "one hundred fourteen million, six hundred thirty-three thousand, two hundred sixteen".