114064641 has 12 divisors (see below), whose sum is σ = 167553360. Its totient is φ = 74753880.

The previous prime is 114064637. The next prime is 114064649. The reversal of 114064641 is 146460411.

114064641 is a `hidden beast` number, since 1 + 14 + 0 + 6 + 4 + 641 = 666.

It is not a de Polignac number, because 114064641 - 2² = 114064637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114064649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106875 + ... + 107936.

It is an arithmetic number, because the mean of its divisors is an integer number (13962780).

Almost surely, 2^114064641 is an apocalyptic number.

It is an amenable number.

114064641 is a deficient number, since it is larger than the sum of its proper divisors (53488719).

114064641 is a wasteful number, since it uses less digits than its factorization.

114064641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214876 (or 214873 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114064641 is about 10680.1049152150. The cubic root of 114064641 is about 484.9723879841.

The spelling of 114064641 in words is "one hundred fourteen million, sixty-four thousand, six hundred forty-one".