114244760448 has 1024 divisors, whose sum is σ = 434294784000. Its totient is φ = 28768296960.

The previous prime is 114244760447. The next prime is 114244760503. The reversal of 114244760448 is 844067442411.

114244760448 is a `hidden beast` number, since 1 + 14 + 24 + 4 + 7 + 604 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114244760447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 872097343 + ... + 872097473.

It is an arithmetic number, because the mean of its divisors is an integer number (424116000).

Almost surely, 2^114244760448 is an apocalyptic number.

114244760448 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 114244760448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217147392000).

114244760448 is an abundant number, since it is smaller than the sum of its proper divisors (320050023552).

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

114244760448 is a wasteful number, since it uses less digits than its factorization.

114244760448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 114244760448 in words is "one hundred fourteen billion, two hundred forty-four million, seven hundred sixty thousand, four hundred forty-eight".