114306048 has 132 divisors (see below), whose sum is σ = 336363040. Its totient is φ = 37380096.

The previous prime is 114306047. The next prime is 114306089. The reversal of 114306048 is 840603411.

114306048 is a `hidden beast` number, since 11 + 43 + 0 + 604 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (114306041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727986 + ... + 728142.

Almost surely, 2^114306048 is an apocalyptic number.

114306048 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 114306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168181520).

114306048 is an abundant number, since it is smaller than the sum of its proper divisors (222056992).

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

114306048 is a wasteful number, since it uses less digits than its factorization.

114306048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114306048 is about 10691.4006566025. The cubic root of 114306048 is about 485.3142795992.

Adding to 114306048 its reverse (840603411), we get a palindrome (954909459).

The spelling of 114306048 in words is "one hundred fourteen million, three hundred six thousand, forty-eight".