248676420627 has 40 divisors (see below), whose sum is σ = 372760227840. Its totient is φ = 165213503280.

The previous prime is 248676420593. The next prime is 248676420649. The reversal of 248676420627 is 726024676842.

248676420627 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 7 + 6 + 4 + 2 + 0 + 627 = 666.

It is not a de Polignac number, because 248676420627 - 2²⁶ = 248609311763 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248676420667) 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 39 ways as a sum of consecutive naturals, for example, 51050002 + ... + 51054872.

It is an arithmetic number, because the mean of its divisors is an integer number (9319005696).

Almost surely, 2^248676420627 is an apocalyptic number.

248676420627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

248676420627 is a deficient number, since it is larger than the sum of its proper divisors (124083807213).

248676420627 is a wasteful number, since it uses less digits than its factorization.

248676420627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 248676420627 in words is "two hundred forty-eight billion, six hundred seventy-six million, four hundred twenty thousand, six hundred twenty-seven".