114164504145 has 24 divisors (see below), whose sum is σ = 197920660392. Its totient is φ = 60876806400.

The previous prime is 114164504089. The next prime is 114164504159. The reversal of 114164504145 is 541405461411.

114164504145 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 4 + 504 + 145 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81932765121 + 32231739024 = 286239^2 + 179532^2 .

It is not a de Polignac number, because 114164504145 - 2⁷ = 114164504017 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 28975 + ... + 478715.

It is an arithmetic number, because the mean of its divisors is an integer number (8246694183).

Almost surely, 2^114164504145 is an apocalyptic number.

114164504145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114164504145 is a deficient number, since it is larger than the sum of its proper divisors (83756156247).

114164504145 is a wasteful number, since it uses less digits than its factorization.

114164504145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455393 (or 455390 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 114164504145 its reverse (541405461411), we get a palindrome (655569965556).

The spelling of 114164504145 in words is "one hundred fourteen billion, one hundred sixty-four million, five hundred four thousand, one hundred forty-five".