248686560441 has 48 divisors (see below), whose sum is σ = 425800826880. Its totient is φ = 138180492000.

The previous prime is 248686560431. The next prime is 248686560443. The reversal of 248686560441 is 144065686842.

248686560441 is a `hidden beast` number, since 2 + 4 + 86 + 8 + 65 + 60 + 441 = 666.

It is not a de Polignac number, because 248686560441 - 2¹⁰ = 248686559417 is a prime.

It is a super-2 number, since 2×248686560441² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248686560443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2074105 + ... + 2190726.

It is an arithmetic number, because the mean of its divisors is an integer number (8870850560).

Almost surely, 2^248686560441 is an apocalyptic number.

It is an amenable number.

248686560441 is a deficient number, since it is larger than the sum of its proper divisors (177114266439).

248686560441 is a wasteful number, since it uses less digits than its factorization.

248686560441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264898 (or 4264895 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 248686560441 in words is "two hundred forty-eight billion, six hundred eighty-six million, five hundred sixty thousand, four hundred forty-one".