248640077871 has 12 divisors (see below), whose sum is σ = 372448512072. Its totient is φ = 165760051752.

The previous prime is 248640077843. The next prime is 248640077897. The reversal of 248640077871 is 178770046842.

248640077871 is a `hidden beast` number, since 24 + 86 + 400 + 7 + 78 + 71 = 666.

It is not a de Polignac number, because 248640077871 - 2⁵ = 248640077839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248640077821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511604856 + ... + 511605341.

It is an arithmetic number, because the mean of its divisors is an integer number (31037376006).

Almost surely, 2^248640077871 is an apocalyptic number.

248640077871 is a deficient number, since it is larger than the sum of its proper divisors (123808434201).

248640077871 is an equidigital number, since it uses as much as digits as its factorization.

248640077871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023210212 (or 1023210200 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 248640077871 in words is "two hundred forty-eight billion, six hundred forty million, seventy-seven thousand, eight hundred seventy-one".