114835988448 has 288 divisors, whose sum is σ = 369120810240. Its totient is φ = 33648168960.

The previous prime is 114835988339. The next prime is 114835988471. The reversal of 114835988448 is 844889538411.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6596011 + ... + 6613397.

It is an arithmetic number, because the mean of its divisors is an integer number (1281669480).

Almost surely, 2^114835988448 is an apocalyptic number.

114835988448 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 114835988448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184560405120).

114835988448 is an abundant number, since it is smaller than the sum of its proper divisors (254284821792).

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

114835988448 is a wasteful number, since it uses less digits than its factorization.

114835988448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17510 (or 17499 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 114835988448 in words is "one hundred fourteen billion, eight hundred thirty-five million, nine hundred eighty-eight thousand, four hundred forty-eight".