114416565241 has 16 divisors (see below), whose sum is σ = 125121165120. Its totient is φ = 103762802880.

The previous prime is 114416565199. The next prime is 114416565259. The reversal of 114416565241 is 142565614411.

It is not a de Polignac number, because 114416565241 - 2²¹ = 114414468089 is a prime.

It is a super-3 number, since 3×114416565241³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114416565194 and 114416565203.

It is not an unprimeable number, because it can be changed into a prime (114416565271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7944475 + ... + 7958863.

It is an arithmetic number, because the mean of its divisors is an integer number (7820072820).

Almost surely, 2^114416565241 is an apocalyptic number.

114416565241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114416565241 is a deficient number, since it is larger than the sum of its proper divisors (10704599879).

114416565241 is a wasteful number, since it uses less digits than its factorization.

114416565241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16104.

The product of its digits is 115200, while the sum is 40.

The spelling of 114416565241 in words is "one hundred fourteen billion, four hundred sixteen million, five hundred sixty-five thousand, two hundred forty-one".