114506355411817 has 8 divisors (see below), whose sum is σ = 121242117614472. Its totient is φ = 107770603680000.

The previous prime is 114506355411779. The next prime is 114506355411823. The reversal of 114506355411817 is 718114553605411.

It can be written as a sum of positive squares in 4 ways, for example, as 26152014121216 + 88354341290601 = 5113904^2 + 9399699^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114506355411817 - 2¹¹ = 114506355409769 is a prime.

It is a super-2 number, since 2×114506355411817² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114506355411517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37214067 + ... + 40173367.

It is an arithmetic number, because the mean of its divisors is an integer number (15155264701809).

Almost surely, 2^{114506355411817} is an apocalyptic number.

114506355411817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

114506355411817 is a deficient number, since it is larger than the sum of its proper divisors (6735762202655).

114506355411817 is a wasteful number, since it uses less digits than its factorization.

114506355411817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235419.

The product of its (nonzero) digits is 2016000, while the sum is 52.

The spelling of 114506355411817 in words is "one hundred fourteen trillion, five hundred six billion, three hundred fifty-five million, four hundred eleven thousand, eight hundred seventeen".