114084503536801 has 16 divisors (see below), whose sum is σ = 130428408265344. Its totient is φ = 97752134196864.

The previous prime is 114084503536739. The next prime is 114084503536807. The reversal of 114084503536801 is 108635305480411.

It is not a de Polignac number, because 114084503536801 - 2³⁷ = 113947064583329 is a prime.

It is a super-2 number, since 2×114084503536801² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114084503536807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243605670 + ... + 244073536.

It is an arithmetic number, because the mean of its divisors is an integer number (8151775516584).

Almost surely, 2^{114084503536801} is an apocalyptic number.

It is an amenable number.

114084503536801 is a deficient number, since it is larger than the sum of its proper divisors (16343904728543).

114084503536801 is an equidigital number, since it uses as much as digits as its factorization.

114084503536801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480120.

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 114084503536801 in words is "one hundred fourteen trillion, eighty-four billion, five hundred three million, five hundred thirty-six thousand, eight hundred one".