114414048 has 288 divisors, whose sum is σ = 408844800. Its totient is φ = 29611008.

The previous prime is 114414023. The next prime is 114414071. The reversal of 114414048 is 840414411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110765 + ... + 1110867.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 2^114414048 is an apocalyptic number.

114414048 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 114414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

114414048 is an abundant number, since it is smaller than the sum of its proper divisors (294430752).

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

114414048 is a wasteful number, since it uses less digits than its factorization.

114414048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 114414048 is about 10696.4502523033. The cubic root of 114414048 is about 485.4670782899.

Adding to 114414048 its reverse (840414411), we get a palindrome (954828459).

The spelling of 114414048 in words is "one hundred fourteen million, four hundred fourteen thousand, forty-eight".