114244542012006 has 192 divisors, whose sum is σ = 303344789529600. Its totient is φ = 31218359001984.

The previous prime is 114244542011993. The next prime is 114244542012031. The reversal of 114244542012006 is 600210245442411.

114244542012006 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 445 + 4 + 2 + 0 + 1 + 200 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1937402335 + ... + 1937461301.

It is an arithmetic number, because the mean of its divisors is an integer number (1579920778800).

Almost surely, 2^{114244542012006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114244542012006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151672394764800).

114244542012006 is an abundant number, since it is smaller than the sum of its proper divisors (189100247517594).

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

114244542012006 is a wasteful number, since it uses less digits than its factorization.

114244542012006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68720 (or 68691 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 114244542012006 its reverse (600210245442411), we get a palindrome (714454787454417).

The spelling of 114244542012006 in words is "one hundred fourteen trillion, two hundred forty-four billion, five hundred forty-two million, twelve thousand, six".