114505210235241 has 72 divisors (see below), whose sum is σ = 204159462651144. Its totient is φ = 61449047331840.

The previous prime is 114505210235191. The next prime is 114505210235249. The reversal of 114505210235241 is 142532012505411.

114505210235241 is a `hidden beast` number, since 1 + 1 + 4 + 50 + 5 + 210 + 2 + 352 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49680506433600 + 64824703801641 = 7048440^2 + 8051379^2 .

It is not a de Polignac number, because 114505210235241 - 2⁷ = 114505210235113 is a prime.

It is a super-2 number, since 2×114505210235241² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114505210235196 and 114505210235205.

It is not an unprimeable number, because it can be changed into a prime (114505210235249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13109470 + ... + 20021703.

It is an arithmetic number, because the mean of its divisors is an integer number (2835548092377).

Almost surely, 2^{114505210235241} is an apocalyptic number.

It is an amenable number.

114505210235241 is a deficient number, since it is larger than the sum of its proper divisors (89654252415903).

114505210235241 is a wasteful number, since it uses less digits than its factorization.

114505210235241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33131671 (or 33131661 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 114505210235241 in words is "one hundred fourteen trillion, five hundred five billion, two hundred ten million, two hundred thirty-five thousand, two hundred forty-one".