114353868882240 has 560 divisors, whose sum is σ = 438220202999040. Its totient is φ = 28138823331840.

The previous prime is 114353868882173. The next prime is 114353868882259. The reversal of 114353868882240 is 42288868353411.

114353868882240 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 5 + 386 + 8 + 8 + 8 + 2 + 240 = 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 79 ways as a sum of consecutive naturals, for example, 990267705 + ... + 990383175.

It is an arithmetic number, because the mean of its divisors is an integer number (782536076784).

Almost surely, 2^{114353868882240} is an apocalyptic number.

114353868882240 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 114353868882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219110101499520).

114353868882240 is an abundant number, since it is smaller than the sum of its proper divisors (323866334116800).

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

114353868882240 is a wasteful number, since it uses less digits than its factorization.

114353868882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118452 (or 118433 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 114353868882240 in words is "one hundred fourteen trillion, three hundred fifty-three billion, eight hundred sixty-eight million, eight hundred eighty-two thousand, two hundred forty".