114443517206656 has 128 divisors (see below), whose sum is σ = 252852319987200. Its totient is φ = 51155789414400.

The previous prime is 114443517206651. The next prime is 114443517206671. The reversal of 114443517206656 is 656602715344411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 114443517206597 and 114443517206606.

It is not an unprimeable number, because it can be changed into a prime (114443517206651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 398290816 + ... + 398578048.

It is an arithmetic number, because the mean of its divisors is an integer number (1975408749900).

Almost surely, 2^{114443517206656} is an apocalyptic number.

114443517206656 is a gapful number since it is divisible by the number (16) 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 114443517206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126426159993600).

114443517206656 is an abundant number, since it is smaller than the sum of its proper divisors (138408802780544).

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

114443517206656 is a wasteful number, since it uses less digits than its factorization.

114443517206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291958 (or 291946 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 114443517206656 in words is "one hundred fourteen trillion, four hundred forty-three billion, five hundred seventeen million, two hundred six thousand, six hundred fifty-six".