114681688116480 has 3024 divisors, whose sum is σ = 460018487900160. Its totient is φ = 27292013199360.

The previous prime is 114681688116469. The next prime is 114681688116557. The reversal of 114681688116480 is 84611886186411.

114681688116480 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 8 + 1 + 68 + 81 + 16 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 903005418177 + ... + 903005418303.

It is an arithmetic number, because the mean of its divisors is an integer number (152122515840).

Almost surely, 2^{114681688116480} is an apocalyptic number.

114681688116480 is a gapful number since it is divisible by the number (10) 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 114681688116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230009243950080).

114681688116480 is an abundant number, since it is smaller than the sum of its proper divisors (345336799783680).

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

114681688116480 is an equidigital number, since it uses as much as digits as its factorization.

114681688116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 63.

The spelling of 114681688116480 in words is "one hundred fourteen trillion, six hundred eighty-one billion, six hundred eighty-eight million, one hundred sixteen thousand, four hundred eighty".