114648417 has 18 divisors (see below), whose sum is σ = 179324262. Its totient is φ = 70551936.

The previous prime is 114648403. The next prime is 114648419. The reversal of 114648417 is 714846411.

114648417 is a `hidden beast` number, since 1 + 1 + 4 + 648 + 4 + 1 + 7 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6155361 + 108493056 = 2481^2 + 10416^2 .

It is not a de Polignac number, because 114648417 - 2⁸ = 114648161 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114648419) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36168 + ... + 39209.

It is an arithmetic number, because the mean of its divisors is an integer number (9962459).

Almost surely, 2^114648417 is an apocalyptic number.

It is an amenable number.

114648417 is a deficient number, since it is larger than the sum of its proper divisors (64675845).

114648417 is a wasteful number, since it uses less digits than its factorization.

114648417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75409 (or 75393 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 114648417 is about 10707.4001046006. The cubic root of 114648417 is about 485.7983337460.

It can be divided in two parts, 11464 and 8417, that added together give a square (19881 = 141²).

The spelling of 114648417 in words is "one hundred fourteen million, six hundred forty-eight thousand, four hundred seventeen".