114241051512224 has 384 divisors, whose sum is σ = 293707686666240. Its totient is φ = 42475062030336.

The previous prime is 114241051512209. The next prime is 114241051512227. The reversal of 114241051512224 is 422215150142411.

It is not an unprimeable number, because it can be changed into a prime (114241051512227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5620152749 + ... + 5620173075.

It is an arithmetic number, because the mean of its divisors is an integer number (764863767360).

Almost surely, 2^{114241051512224} is an apocalyptic number.

114241051512224 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 114241051512224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146853843333120).

114241051512224 is an abundant number, since it is smaller than the sum of its proper divisors (179466635154016).

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

114241051512224 is a wasteful number, since it uses less digits than its factorization.

114241051512224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21180 (or 21172 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The spelling of 114241051512224 in words is "one hundred fourteen trillion, two hundred forty-one billion, fifty-one million, five hundred twelve thousand, two hundred twenty-four".