114382456617 has 32 divisors (see below), whose sum is σ = 189712091520. Its totient is φ = 60226053120.

The previous prime is 114382456613. The next prime is 114382456631. The reversal of 114382456617 is 716654283411.

It is not a de Polignac number, because 114382456617 - 2² = 114382456613 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114382456613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7834642 + ... + 7849227.

It is an arithmetic number, because the mean of its divisors is an integer number (5928502860).

Almost surely, 2^114382456617 is an apocalyptic number.

114382456617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

114382456617 is a deficient number, since it is larger than the sum of its proper divisors (75329634903).

114382456617 is a wasteful number, since it uses less digits than its factorization.

114382456617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683913.

The product of its digits is 967680, while the sum is 48.

The spelling of 114382456617 in words is "one hundred fourteen billion, three hundred eighty-two million, four hundred fifty-six thousand, six hundred seventeen".