249099860241 has 24 divisors (see below), whose sum is σ = 360786144264. Its totient is φ = 165617049600.

The previous prime is 249099860231. The next prime is 249099860279. The reversal of 249099860241 is 142068990942.

249099860241 is a `hidden beast` number, since 2 + 490 + 9 + 98 + 60 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50683066641 + 198416793600 = 225129^2 + 445440^2 .

It is not a de Polignac number, because 249099860241 - 2³⁵ = 214740121873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249099860231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5261025 + ... + 5308161.

It is an arithmetic number, because the mean of its divisors is an integer number (15032756011).

Almost surely, 2^249099860241 is an apocalyptic number.

It is an amenable number.

249099860241 is a deficient number, since it is larger than the sum of its proper divisors (111686284023).

249099860241 is a wasteful number, since it uses less digits than its factorization.

249099860241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48721 (or 48718 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 249099860241 in words is "two hundred forty-nine billion, ninety-nine million, eight hundred sixty thousand, two hundred forty-one".