114824448 has 216 divisors, whose sum is σ = 362442080. Its totient is φ = 34836480.

The previous prime is 114824417. The next prime is 114824453. The reversal of 114824448 is 844428411.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (32768) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1882338 + ... + 1882398.

Almost surely, 2^114824448 is an apocalyptic number.

114824448 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 114824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181221040).

114824448 is an abundant number, since it is smaller than the sum of its proper divisors (247617632).

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

114824448 is a wasteful number, since it uses less digits than its factorization.

114824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 114824448 is about 10715.6170144327. The cubic root of 114824448 is about 486.0468379388.

The spelling of 114824448 in words is "one hundred fourteen million, eight hundred twenty-four thousand, four hundred forty-eight".