114736833441 has 12 divisors (see below), whose sum is σ = 167439549732. Its totient is φ = 75702652416.

The previous prime is 114736833439. The next prime is 114736833443. The reversal of 114736833441 is 144338637411.

114736833441 is a `hidden beast` number, since 1 + 147 + 3 + 68 + 3 + 3 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (114736833439) and next prime (114736833443).

It can be written as a sum of positive squares in 2 ways, for example, as 17566851600 + 97169981841 = 132540^2 + 311721^2 .

It is not a de Polignac number, because 114736833441 - 2¹ = 114736833439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114736833443) 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 11 ways as a sum of consecutive naturals, for example, 65713236 + ... + 65714981.

It is an arithmetic number, because the mean of its divisors is an integer number (13953295811).

Almost surely, 2^114736833441 is an apocalyptic number.

It is an amenable number.

114736833441 is a deficient number, since it is larger than the sum of its proper divisors (52702716291).

114736833441 is a wasteful number, since it uses less digits than its factorization.

114736833441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131428320 (or 131428317 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 114736833441 in words is "one hundred fourteen billion, seven hundred thirty-six million, eight hundred thirty-three thousand, four hundred forty-one".