114833814144 has 256 divisors, whose sum is σ = 368896757760. Its totient is φ = 30939955200.

The previous prime is 114833814103. The next prime is 114833814149. The reversal of 114833814144 is 441418338411.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a junction number, because it is equal to n+sod(n) for n = 114833814096 and 114833814105.

It is not an unprimeable number, because it can be changed into a prime (114833814149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4376424 + ... + 4402584.

It is an arithmetic number, because the mean of its divisors is an integer number (1441002960).

Almost surely, 2^114833814144 is an apocalyptic number.

114833814144 is a gapful number since it is divisible by the number (14) 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 114833814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184448378880).

114833814144 is an abundant number, since it is smaller than the sum of its proper divisors (254062943616).

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

114833814144 is a wasteful number, since it uses less digits than its factorization.

114833814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26279 (or 26267 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 114833814144 in words is "one hundred fourteen billion, eight hundred thirty-three million, eight hundred fourteen thousand, one hundred forty-four".