114983179366441 has 9 divisors (see below), whose sum is σ = 116111474490141. Its totient is φ = 113865744071052.

The previous prime is 114983179366427. The next prime is 114983179366453. The reversal of 114983179366441 is 144663971389411.

The square root of 114983179366441 is 10723021.

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

It is not a de Polignac number, because 114983179366441 - 2²³ = 114983170977833 is a prime.

It is a super-2 number, since 2×114983179366441² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114983179366411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1104419110 + ... + 1104523216.

It is an arithmetic number, because the mean of its divisors is an integer number (12901274943349).

Almost surely, 2^{114983179366441} is an apocalyptic number.

114983179366441 is the 10723021-st square number.

114983179366441 is the 5361511-st centered octagonal number.

It is an amenable number.

114983179366441 is a deficient number, since it is larger than the sum of its proper divisors (1128295123700).

114983179366441 is an frugal number, since it uses more digits than its factorization.

114983179366441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208420 (or 104210 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 67.

The spelling of 114983179366441 in words is "one hundred fourteen trillion, nine hundred eighty-three billion, one hundred seventy-nine million, three hundred sixty-six thousand, four hundred forty-one".