114626267361 has 12 divisors (see below), whose sum is σ = 171280629780. Its totient is φ = 73782424800.

The previous prime is 114626267359. The next prime is 114626267363. The reversal of 114626267361 is 163762626411.

114626267361 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 26 + 267 + 361 = 666.

It is an interprime number because it is at equal distance from previous prime (114626267359) and next prime (114626267363).

It can be written as a sum of positive squares in 2 ways, for example, as 42171086736 + 72455180625 = 205356^2 + 269175^2 .

It is not a de Polignac number, because 114626267361 - 2¹ = 114626267359 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (114626267363) 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, 219590290 + ... + 219590811.

It is an arithmetic number, because the mean of its divisors is an integer number (14273385815).

Almost surely, 2^114626267361 is an apocalyptic number.

It is an amenable number.

114626267361 is a deficient number, since it is larger than the sum of its proper divisors (56654362419).

114626267361 is a wasteful number, since it uses less digits than its factorization.

114626267361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439181136 (or 439181133 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 114626267361 in words is "one hundred fourteen billion, six hundred twenty-six million, two hundred sixty-seven thousand, three hundred sixty-one".