114246416928 has 288 divisors, whose sum is σ = 372831621120. Its totient is φ = 29923084800.

The previous prime is 114246416923. The next prime is 114246416929. The reversal of 114246416928 is 829614642411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (114246416923) by changing a digit.

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, 12265393 + ... + 12274703.

It is an arithmetic number, because the mean of its divisors is an integer number (1294554240).

Almost surely, 2^114246416928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114246416928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186415810560).

114246416928 is an abundant number, since it is smaller than the sum of its proper divisors (258585204192).

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

114246416928 is a wasteful number, since it uses less digits than its factorization.

114246416928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9412 (or 9373 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 114246416928 in words is "one hundred fourteen billion, two hundred forty-six million, four hundred sixteen thousand, nine hundred twenty-eight".