114241053440241 has 216 divisors, whose sum is σ = 219797475326520. Its totient is φ = 56662677356544.

The previous prime is 114241053440221. The next prime is 114241053440281. The reversal of 114241053440241 is 142044350142411.

114241053440241 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 41 + 0 + 534 + 40 + 2 + 41 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6828474528225 + 107412578912016 = 2613135^2 + 10364004^2 .

It is not a de Polignac number, because 114241053440241 - 2⁵ = 114241053440209 is a prime.

It is a super-2 number, since 2×114241053440241² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114241053440196 and 114241053440205.

It is not an unprimeable number, because it can be changed into a prime (114241053440221) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1850656065 + ... + 1850717793.

Almost surely, 2^{114241053440241} is an apocalyptic number.

It is an amenable number.

114241053440241 is a deficient number, since it is larger than the sum of its proper divisors (105556421886279).

114241053440241 is a wasteful number, since it uses less digits than its factorization.

114241053440241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62913 (or 62886 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 114241053440241 in words is "one hundred fourteen trillion, two hundred forty-one billion, fifty-three million, four hundred forty thousand, two hundred forty-one".