114867444241 has 15 divisors (see below), whose sum is σ = 126398530315. Its totient is φ = 104387668000.

The previous prime is 114867444239. The next prime is 114867444247. The reversal of 114867444241 is 142444768411.

It is a happy number.

The square root of 114867444241 is 338921.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58622578641 + 56244865600 = 242121^2 + 237160^2 .

It is not a de Polignac number, because 114867444241 - 2¹ = 114867444239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114867444191 and 114867444200.

It is not an unprimeable number, because it can be changed into a prime (114867444247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 41008041 + ... + 41010841.

Almost surely, 2^114867444241 is an apocalyptic number.

114867444241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114867444241 is the 338921-st square number.

114867444241 is the 169461-st centered octagonal number.

It is an amenable number.

114867444241 is a deficient number, since it is larger than the sum of its proper divisors (11531086074).

114867444241 is an frugal number, since it uses more digits than its factorization.

114867444241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 2812 counting only the distinct ones).

The product of its digits is 688128, while the sum is 46.

The spelling of 114867444241 in words is "one hundred fourteen billion, eight hundred sixty-seven million, four hundred forty-four thousand, two hundred forty-one".