114094869142752 has 288 divisors, whose sum is σ = 337258058417280. Its totient is φ = 37943105840640.

The previous prime is 114094869142739. The next prime is 114094869142759. The reversal of 114094869142752 is 257241968490411.

114094869142752 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 9 + 486 + 9 + 142 + 7 + 5 + 2 = 666.

114094869142752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 114094869142752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114094869142759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8893505874 + ... + 8893518702.

It is an arithmetic number, because the mean of its divisors is an integer number (1171034925060).

Almost surely, 2^{114094869142752} is an apocalyptic number.

114094869142752 is a gapful number since it is divisible by the number (12) 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 114094869142752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168629029208640).

114094869142752 is an abundant number, since it is smaller than the sum of its proper divisors (223163189274528).

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

114094869142752 is a wasteful number, since it uses less digits than its factorization.

114094869142752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15428 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 114094869142752 in words is "one hundred fourteen trillion, ninety-four billion, eight hundred sixty-nine million, one hundred forty-two thousand, seven hundred fifty-two".